<rss xmlns:itunes="http://www.itunes.com/dtds/podcast-1.0.dtd" version="2.0">
  <channel>
    <title>MaplePrimes - Maple 2020 Posts and Questions</title>
    <link>http://www.mapleprimes.com/products/Maple/Maple 2020</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
    <generator>Maplesoft Document System</generator>
    <lastBuildDate>Mon, 24 Aug 2026 07:50:18 GMT</lastBuildDate>
    <pubDate>Mon, 24 Aug 2026 07:50:18 GMT</pubDate>
    <itunes:subtitle />
    <itunes:summary />
    <description>Maple 2020 Questions and Posts on MaplePrimes</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - Maple 2020 Posts and Questions</title>
      <link>http://www.mapleprimes.com/products/Maple/Maple 2020</link>
    </image>
    <item>
      <title>How can this ode error message be avoided?</title>
      <link>http://www.mapleprimes.com/questions/243741-How-Can-This-Ode-Error-Message-Be-Avoided?ref=Feed:MaplePrimes:Version Maple 2020</link>
      <itunes:summary>&lt;p&gt;The uploaded worksheet contains a second order ode with initial conditions which elicits an error message.&lt;br&gt;
How can this error be avoided?&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243741_question/Bobs_sliding.mw"&gt;Bobs_sliding.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;The uploaded worksheet contains a second order ode with initial conditions which elicits an error message.&lt;br&gt;
How can this error be avoided?&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243741_question/Bobs_sliding.mw"&gt;Bobs_sliding.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>243741</guid>
      <pubDate>Sun, 23 Aug 2026 14:08:48 Z</pubDate>
      <itunes:author>Earl</itunes:author>
      <author>Earl</author>
    </item>
    <item>
      <title>dsolve programming example</title>
      <link>http://www.mapleprimes.com/questions/243675-Dsolve-Programming-Example?ref=Feed:MaplePrimes:Version Maple 2020</link>
      <itunes:summary>&lt;p&gt;The two uploads are my attempt to solve Problem 177 in the book &amp;quot;200 More Puzzling Physics Problems&amp;quot; by authors Peter Gnadig, Gyula Honyek and Mate Vigh.&lt;/p&gt;

&lt;p&gt;The first upload of a conducting rod moving with initial velocity along two arms of a triangle in a perpendicular constant magnitic field successfully produces an animation.&lt;/p&gt;

&lt;p&gt;The second upload of the rod moving on the arms of a parabola produces a puzzling error message when executing the ODE&lt;/p&gt;

&lt;p&gt;What actual error in the ODE results in this error message?&lt;/p&gt;

&lt;p&gt;What changes to the worksheet will result in successful execution of the ODE and a successful animation?&lt;br&gt;
&lt;br&gt;
&lt;a href="/view.aspx?sf=243675_question/_Rod_triangle.mw"&gt;Rod_triangle.mw&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243675_question/Rod_parabola.mw"&gt;Rod_parabola.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;The two uploads are my attempt to solve Problem 177 in the book &amp;quot;200 More Puzzling Physics Problems&amp;quot; by authors Peter Gnadig, Gyula Honyek and Mate Vigh.&lt;/p&gt;

&lt;p&gt;The first upload of a conducting rod moving with initial velocity along two arms of a triangle in a perpendicular constant magnitic field successfully produces an animation.&lt;/p&gt;

&lt;p&gt;The second upload of the rod moving on the arms of a parabola produces a puzzling error message when executing the ODE&lt;/p&gt;

&lt;p&gt;What actual error in the ODE results in this error message?&lt;/p&gt;

&lt;p&gt;What changes to the worksheet will result in successful execution of the ODE and a successful animation?&lt;br&gt;
&lt;br&gt;
&lt;a href="/view.aspx?sf=243675_question/_Rod_triangle.mw"&gt;Rod_triangle.mw&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243675_question/Rod_parabola.mw"&gt;Rod_parabola.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>243675</guid>
      <pubDate>Tue, 07 Jul 2026 13:32:58 Z</pubDate>
      <itunes:author>Earl</itunes:author>
      <author>Earl</author>
    </item>
    <item>
      <title>Where is this dsolve syntax documented?</title>
      <link>http://www.mapleprimes.com/questions/243667-Where-Is-This-Dsolve-Syntax-Documented?ref=Feed:MaplePrimes:Version Maple 2020</link>
      <itunes:summary>&lt;p&gt;I cannot find a description of the use of the form of dsolve and the following evaluation of its constants which are found in the downloaded worksheet.&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243667_question/Gnadig_2_problem_177_Rod_moving_on_a_wire_in_B_field.mw"&gt;Gnadig_2_problem_177_Rod_moving_on_a_wire_in_B_field.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;I cannot find a description of the use of the form of dsolve and the following evaluation of its constants which are found in the downloaded worksheet.&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243667_question/Gnadig_2_problem_177_Rod_moving_on_a_wire_in_B_field.mw"&gt;Gnadig_2_problem_177_Rod_moving_on_a_wire_in_B_field.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>243667</guid>
      <pubDate>Sat, 04 Jul 2026 19:50:14 Z</pubDate>
      <itunes:author>Earl</itunes:author>
      <author>Earl</author>
    </item>
    <item>
      <title>Animating the Dzhanibekov effect?</title>
      <link>http://www.mapleprimes.com/questions/243640-Animating-The-Dzhanibekov-Effect?ref=Feed:MaplePrimes:Version Maple 2020</link>
      <itunes:summary>&lt;p&gt;The uploaded worksheet references two youtube videos.&lt;/p&gt;

&lt;p&gt;The first one displays the animation of a simple device rotating about an axis tilted at a small angle from the device&amp;#39;s principal axis having an intermediate moment of inertia.&lt;/p&gt;

&lt;p&gt;The animation and accompanying verbal description demonstrate the Dzhanibekov effect.&lt;br&gt;
The second video contains the first video&amp;#39;s narrator&amp;#39;s equations which produce the values used in creating the animation.&lt;/p&gt;

&lt;p&gt;The uploaded worksheet contains my failed attempt to reproduce these values.&lt;/p&gt;

&lt;p&gt;Please suggest the Maple 2020 compatible statements which correctly produce these values.&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243640_question/Dzhanibekov_effect.mw"&gt;Dzhanibekov_effect.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;The uploaded worksheet references two youtube videos.&lt;/p&gt;

&lt;p&gt;The first one displays the animation of a simple device rotating about an axis tilted at a small angle from the device&amp;#39;s principal axis having an intermediate moment of inertia.&lt;/p&gt;

&lt;p&gt;The animation and accompanying verbal description demonstrate the Dzhanibekov effect.&lt;br&gt;
The second video contains the first video&amp;#39;s narrator&amp;#39;s equations which produce the values used in creating the animation.&lt;/p&gt;

&lt;p&gt;The uploaded worksheet contains my failed attempt to reproduce these values.&lt;/p&gt;

&lt;p&gt;Please suggest the Maple 2020 compatible statements which correctly produce these values.&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243640_question/Dzhanibekov_effect.mw"&gt;Dzhanibekov_effect.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>243640</guid>
      <pubDate>Tue, 16 Jun 2026 18:40:37 Z</pubDate>
      <itunes:author>Earl</itunes:author>
      <author>Earl</author>
    </item>
    <item>
      <title>Why is Threads:-Task:-Continue miscomputing?</title>
      <link>http://www.mapleprimes.com/questions/242207-Why-Is-ThreadsTaskContinue-Miscomputing?ref=Feed:MaplePrimes:Version Maple 2020</link>
      <itunes:summary>&lt;p&gt;Hi,&lt;br&gt;
I am experimenting with Threads:-Task:-Continue in Maple 2020.2 and sometimes it returns different results depending on N, or, how fine the mesh is. I have modified procedures cont and task in a Maple example shown in a worksheet. I can compare the result from Threads with one I can obtain another way and which surely is correct. The result from Threads depends on N: sometimes it is correct, sometimes it is not. The wrong result is returned only when the Threads:-Task:-Continue loop is executed, of course.&lt;/p&gt;

&lt;p&gt;Has anyone spotted that problem? Is there a way to trace what actually is being done in each leaf? Does this problem appear in later versions of Maple?&lt;/p&gt;

&lt;p&gt;I would appreciate some feedback.&lt;/p&gt;

&lt;p&gt;Thanks in advance,&lt;/p&gt;

&lt;p&gt;Rafal Anlamowicz&lt;br&gt;
rablamowicz@gmail.com&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;Hi,&lt;br /&gt;
I am experimenting with Threads:-Task:-Continue in Maple 2020.2 and sometimes it returns different results depending on N, or, how fine the mesh is. I have modified procedures cont and task in a Maple example shown in a worksheet. I can compare the result from Threads with one I can obtain another way and which surely is correct. The result from Threads depends on N: sometimes it is correct, sometimes it is not. The wrong result is returned only when the Threads:-Task:-Continue loop is executed, of course.&lt;/p&gt;

&lt;p&gt;Has anyone spotted that problem? Is there a way to trace what actually is being done in each leaf? Does this problem appear in later versions of Maple?&lt;/p&gt;

&lt;p&gt;I would appreciate some feedback.&lt;/p&gt;

&lt;p&gt;Thanks in advance,&lt;/p&gt;

&lt;p&gt;Rafal Anlamowicz&lt;br /&gt;
rablamowicz@gmail.com&lt;/p&gt;
</description>
      <guid>242207</guid>
      <pubDate>Fri, 30 Jan 2026 06:53:17 Z</pubDate>
      <itunes:author>RafalAblamowicz</itunes:author>
      <author>RafalAblamowicz</author>
    </item>
    <item>
      <title>Help with the Solution Steps? </title>
      <link>http://www.mapleprimes.com/questions/240031-Help-With-The-Solution-Steps-?ref=Feed:MaplePrimes:Version Maple 2020</link>
      <itunes:summary>&lt;p&gt;Hi,&lt;/p&gt;

&lt;p&gt;In order to obtain an algebraic system, one must set the coeffcients of (H + G&amp;prime;/G2)i to zero. Solve the obtained algebraic system.&lt;/p&gt;

&lt;p&gt;But the expressions were not arranged correctly, but no answer was obtained, while the answer was as follows:&lt;/p&gt;

&lt;p&gt;&lt;img src="/view.aspx?sf=240031_question/123.PNG"&gt;&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="C9DFEAA2B73659EE17BD416A45CA5195"&gt;
&lt;table align="center" width="768"&gt;
	&lt;tbody&gt;
		&lt;tr&gt;
			&lt;td&gt;
			&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="``" height="23" src="/view.aspx?sf=240031_question/947a887ba62054861e608ca7f4a59c1e.gif" style="vertical-align:-6px" width="11"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=240031_question/dda31a7e5801cf7c787a2be4237f2487.gif" style="vertical-align:-6px" width="11"&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;restart&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;with(PDEtools):&lt;/span&gt;&lt;br&gt;
						&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;df:= diff(diff(G(xi), xi)/(G(xi)^2), xi)= A+B*(diff(G(xi), xi)/(G(xi)^2))^2+ c*(diff(G(xi), xi)/(G(xi)^2));&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="(diff(diff(G(xi), xi), xi))/G(xi)^2-2*(diff(G(xi), xi))^2/G(xi)^3 = A+B*(diff(G(xi), xi))^2/G(xi)^4+c*(diff(G(xi), xi))/G(xi)^2" height="79" src="/view.aspx?sf=240031_question/05419e28482fcee3a3671ee20abede46.gif" style="vertical-align:-23px" width="522"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(1)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;a := [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10]:&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=240031_question/6189f9f9aa4f705f9e3c672d73eb3140.gif" style="vertical-align:-6px" width="11"&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;p:= -2: q:= 2:&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;Y1 :=xi -&amp;gt; (add(a[i+3]*(H+(diff(G(xi), xi)/(G(xi)^2)))^i, i = p .. q)):&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
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				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=240031_question/10cc8c2190409da407968fe72499f643.gif" style="vertical-align:-6px" width="11"&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;eq1 := -4*(k^2)*m*diff(Y1(xi), xi,xi) - 4*l*(Y1(xi)^2)+(4*(nu^2)-4*nu*n+n^2-4)*Y1(xi):&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;eq2:=subs(df,eq1);&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="-4*k^2*m*(6*a0*(A+B*(diff(G(xi), xi))^2/G(xi)^4+c*(diff(G(xi), xi))/G(xi)^2)^2/(H+(diff(G(xi), xi))/G(xi)^2)^4-2*a0*((diff(diff(diff(G(xi), xi), xi), xi))/G(xi)^2-6*(diff(diff(G(xi), xi), xi))*(diff(G(xi), xi))/G(xi)^3+6*(diff(G(xi), xi))^3/G(xi)^4)/(H+(diff(G(xi), xi))/G(xi)^2)^3+2*a1*(A+B*(diff(G(xi), xi))^2/G(xi)^4+c*(diff(G(xi), xi))/G(xi)^2)^2/(H+(diff(G(xi), xi))/G(xi)^2)^3-a1*((diff(diff(diff(G(xi), xi), xi), xi))/G(xi)^2-6*(diff(diff(G(xi), xi), xi))*(diff(G(xi), xi))/G(xi)^3+6*(diff(G(xi), xi))^3/G(xi)^4)/(H+(diff(G(xi), xi))/G(xi)^2)^2+a3*((diff(diff(diff(G(xi), xi), xi), xi))/G(xi)^2-6*(diff(diff(G(xi), xi), xi))*(diff(G(xi), xi))/G(xi)^3+6*(diff(G(xi), xi))^3/G(xi)^4)+2*a4*(A+B*(diff(G(xi), xi))^2/G(xi)^4+c*(diff(G(xi), xi))/G(xi)^2)^2+2*a4*(H+(diff(G(xi), xi))/G(xi)^2)*((diff(diff(diff(G(xi), xi), xi), xi))/G(xi)^2-6*(diff(diff(G(xi), xi), xi))*(diff(G(xi), xi))/G(xi)^3+6*(diff(G(xi), xi))^3/G(xi)^4))-4*l*(a0/(H+(diff(G(xi), xi))/G(xi)^2)^2+a1/(H+(diff(G(xi), xi))/G(xi)^2)+a2+a3*(H+(diff(G(xi), xi))/G(xi)^2)+a4*(H+(diff(G(xi), xi))/G(xi)^2)^2)^2+(n^2-4*n*nu+4*nu^2-4)*(a0/(H+(diff(G(xi), xi))/G(xi)^2)^2+a1/(H+(diff(G(xi), xi))/G(xi)^2)+a2+a3*(H+(diff(G(xi), xi))/G(xi)^2)+a4*(H+(diff(G(xi), xi))/G(xi)^2)^2)" height="1216" src="/view.aspx?sf=240031_question/f9f360df311ab46a83deb3a14a3acab0.gif" style="vertical-align:-1134px" width="738"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(2)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;simplify(eq2):&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;fin1:=simplify(numer(%)):&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="``" height="23" src="/view.aspx?sf=240031_question/8f632e76668af0f4b321665665e06ca1.gif" style="vertical-align:-6px" width="11"&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;for i from 0 to degree(fin1,H+(diff(G(xi), xi)/(G(xi)^2))) do EQ[i]:=simplify(coeff(fin1,H+(diff(G(xi), xi)/(G(xi)^2)),i)); end do;&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="4*k^2*(H*G(xi)^2+diff(G(xi), xi))*(-2*(diff(G(xi), xi))^4*a4-G(xi)^2*(8*H*a4+a3)*(diff(G(xi), xi))^3-3*G(xi)^4*H*(4*H*a4+a3)*(diff(G(xi), xi))^2+G(xi)^6*(-8*H^3*a4-3*H^2*a3+a1)*(diff(G(xi), xi))+G(xi)^8*(-2*H^4*a4-H^3*a3+H*a1+2*a0))*m*G(xi)^4*(diff(diff(diff(G(xi), xi), xi), xi))-24*(diff(G(xi), xi))*k^2*(H*G(xi)^2+diff(G(xi), xi))*(-2*(diff(G(xi), xi))^4*a4-G(xi)^2*(8*H*a4+a3)*(diff(G(xi), xi))^3-3*G(xi)^4*H*(4*H*a4+a3)*(diff(G(xi), xi))^2+G(xi)^6*(-8*H^3*a4-3*H^2*a3+a1)*(diff(G(xi), xi))+G(xi)^8*(-2*H^4*a4-H^3*a3+H*a1+2*a0))*m*G(xi)^3*(diff(diff(G(xi), xi), xi))-4*a4*(12*k^2*m*G(xi)^2+2*B^2*m*k^2+a4*l)*(diff(G(xi), xi))^8-8*G(xi)^2*(3*k^2*m*(10*H*a4+a3)*G(xi)^2+a4*((4*B^2*k^2*m+4*a4*l)*H+2*c*B*m*k^2+a3*l))*(diff(G(xi), xi))^7-16*(6*H*k^2*m*(5*H*a4+a3)*G(xi)^2+(3*B^2*a4*k^2*m+7*a4^2*l)*H^2+(7/2)*((8/7)*c*B*m*k^2+a3*l)*a4*H+(m*(B*A+(1/2)*c^2)*k^2+(1/2)*l*a2-(1/4)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(1/4)*a3^2*l)*G(xi)^4*(diff(G(xi), xi))^6-64*G(xi)^6*(-(3/8)*k^2*m*(-20*H^3*a4-6*H^2*a3+a1)*G(xi)^2+((1/2)*k^2*m*B^2*a4+(7/2)*a4^2*l)*H^3+(21/8)*((4/7)*c*B*m*k^2+a3*l)*a4*H^2+((m*(B*A+(1/2)*c^2)*k^2+(3/4)*l*a2-(3/8)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(3/8)*a3^2*l)*H+((1/4)*c*A*m*k^2+(1/8)*a1*l)*a4+(1/8)*a1*B^2*k^2*m+(1/8)*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*(diff(G(xi), xi))^5-8*G(xi)^8*(-6*k^2*m*(-5*H^4*a4-2*H^3*a3+H*a1+a0)*G(xi)^2+(B^2*a4*k^2*m+35*a4^2*l)*H^4+35*((8/35)*c*B*m*k^2+a3*l)*a4*H^3+(((12*A*B+6*c^2)*m*k^2+15*l*a2-(15/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(15/2)*a3^2*l)*H^2+((8*A*c*k^2*m+5*a1*l)*a4+a1*B^2*k^2*m+5*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H+(A^2*k^2*m+a0*l)*a4+(3*B^2*a0+2*B*a1*c)*m*k^2+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*(diff(G(xi), xi))^4-32*G(xi)^10*(-(3/4)*H*k^2*m*(-2*H^4*a4-H^3*a3+H*a1+2*a0)*G(xi)^2+7*H^5*a4^2*l+(35/4)*((2/35)*c*B*m*k^2+a3*l)*a4*H^4+((m*(2*A*B+c^2)*k^2+5*l*a2-(5/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(5/2)*a3^2*l)*H^3+(((5/2)*a1*l+3*c*A*m*k^2)*a4+(5/2)*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^2+((A^2*k^2*m+a0*l)*a4+(1/2)*k^2*m*B*a1*c+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H+(1/2)*((B*A+(1/2)*c^2)*a1+3*B*a0*c)*m*k^2+((1/4)*a0*a3+(1/4)*a1*a2)*l-(1/8)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*(diff(G(xi), xi))^3-48*((7/3)*H^6*a4^2*l+(7/2)*H^5*a3*a4*l+(((1/3)*m*(B*A+(1/2)*c^2)*k^2+(5/2)*l*a2-(5/4)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(5/4)*a3^2*l)*H^4+(((5/3)*a1*l+(4/3)*c*A*m*k^2)*a4+(5/3)*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^3+((A^2*k^2*m+a0*l)*a4+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H^2+((1/3)*(B*A+(1/2)*c^2)*a1*m*k^2+((1/2)*a0*a3+(1/2)*a1*a2)*l-(1/4)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*H+(1/3)*m*(A*a1*c+3*(B*A+(1/2)*c^2)*a0)*k^2+((1/6)*a0*a2+(1/12)*a1^2)*l-(1/12)*(nu-(1/2)*n-1)*a0*(nu-(1/2)*n+1))*G(xi)^12*(diff(G(xi), xi))^2-8*(4*a4^2*H^7*l+7*a3*a4*H^6*l+((6*l*a2+3*nu*n-3*nu^2-(3/4)*n^2+3)*a4+3*a3^2*l)*H^5+((2*A*c*k^2*m+5*a1*l)*a4+5*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^4+((4*A^2*k^2*m+4*a0*l)*a4+(4*a1*a3+2*a2^2)*l-2*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H^3+((3*a0*a3+3*a1*a2)*l-(3/2)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*H^2+(2*k^2*m*A*a1*c+(2*a0*a2+a1^2)*l-(nu-(1/2)*n-1)*a0*(nu-(1/2)*n+1))*H+A*m*(A*a1+6*a0*c)*k^2+a1*l*a0)*G(xi)^14*(diff(G(xi), xi))-8*G(xi)^16*((1/2)*H^8*a4^2*l+H^7*a3*a4*l+((l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(1/2)*a3^2*l)*H^6+(a1*a4*l+a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^5+((A^2*k^2*m+a0*l)*a4+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H^4+((a0*a3+a1*a2)*l-(1/2)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*H^3+(((1/2)*a1^2+a0*a2)*l-(1/2)*(nu-(1/2)*n-1)*a0*(nu-(1/2)*n+1))*H^2+a1*(A^2*k^2*m+a0*l)*H+(1/2)*a0^2*l+3*k^2*m*A^2*a0)" height="2010" src="/view.aspx?sf=240031_question/cec576c33686191c6a5ce25d6fbebe9e.gif" style="vertical-align:-1980px" width="738"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(3)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=240031_question/223266a8270758a596c81eca27dde628.gif" style="vertical-align:-6px" width="11"&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;for i from 0 to degree(fin1,H+(diff(G(xi), xi)/(G(xi)^2))) do EQ[i]:=simplify(coeff(fin1,H+(diff(G(xi), xi)/(G(xi)^2)),i)); end do;&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="4*k^2*(H*G(xi)^2+diff(G(xi), xi))*(-2*(diff(G(xi), xi))^4*a4-G(xi)^2*(8*H*a4+a3)*(diff(G(xi), xi))^3-3*G(xi)^4*H*(4*H*a4+a3)*(diff(G(xi), xi))^2+G(xi)^6*(-8*H^3*a4-3*H^2*a3+a1)*(diff(G(xi), xi))+G(xi)^8*(-2*H^4*a4-H^3*a3+H*a1+2*a0))*m*G(xi)^4*(diff(diff(diff(G(xi), xi), xi), xi))-24*(diff(G(xi), xi))*k^2*(H*G(xi)^2+diff(G(xi), xi))*(-2*(diff(G(xi), xi))^4*a4-G(xi)^2*(8*H*a4+a3)*(diff(G(xi), xi))^3-3*G(xi)^4*H*(4*H*a4+a3)*(diff(G(xi), xi))^2+G(xi)^6*(-8*H^3*a4-3*H^2*a3+a1)*(diff(G(xi), xi))+G(xi)^8*(-2*H^4*a4-H^3*a3+H*a1+2*a0))*m*G(xi)^3*(diff(diff(G(xi), xi), xi))-4*a4*(12*k^2*m*G(xi)^2+2*B^2*m*k^2+a4*l)*(diff(G(xi), xi))^8-8*G(xi)^2*(3*k^2*m*(10*H*a4+a3)*G(xi)^2+a4*((4*B^2*k^2*m+4*a4*l)*H+2*c*B*m*k^2+a3*l))*(diff(G(xi), xi))^7-16*(6*H*k^2*m*(5*H*a4+a3)*G(xi)^2+(3*B^2*a4*k^2*m+7*a4^2*l)*H^2+(7/2)*((8/7)*c*B*m*k^2+a3*l)*a4*H+(m*(B*A+(1/2)*c^2)*k^2+(1/2)*l*a2-(1/4)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(1/4)*a3^2*l)*G(xi)^4*(diff(G(xi), xi))^6-64*G(xi)^6*(-(3/8)*k^2*m*(-20*H^3*a4-6*H^2*a3+a1)*G(xi)^2+((1/2)*k^2*m*B^2*a4+(7/2)*a4^2*l)*H^3+(21/8)*((4/7)*c*B*m*k^2+a3*l)*a4*H^2+((m*(B*A+(1/2)*c^2)*k^2+(3/4)*l*a2-(3/8)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(3/8)*a3^2*l)*H+((1/4)*c*A*m*k^2+(1/8)*a1*l)*a4+(1/8)*a1*B^2*k^2*m+(1/8)*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*(diff(G(xi), xi))^5-8*G(xi)^8*(-6*k^2*m*(-5*H^4*a4-2*H^3*a3+H*a1+a0)*G(xi)^2+(B^2*a4*k^2*m+35*a4^2*l)*H^4+35*((8/35)*c*B*m*k^2+a3*l)*a4*H^3+(((12*A*B+6*c^2)*m*k^2+15*l*a2-(15/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(15/2)*a3^2*l)*H^2+((8*A*c*k^2*m+5*a1*l)*a4+a1*B^2*k^2*m+5*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H+(A^2*k^2*m+a0*l)*a4+(3*B^2*a0+2*B*a1*c)*m*k^2+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*(diff(G(xi), xi))^4-32*G(xi)^10*(-(3/4)*H*k^2*m*(-2*H^4*a4-H^3*a3+H*a1+2*a0)*G(xi)^2+7*H^5*a4^2*l+(35/4)*((2/35)*c*B*m*k^2+a3*l)*a4*H^4+((m*(2*A*B+c^2)*k^2+5*l*a2-(5/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(5/2)*a3^2*l)*H^3+(((5/2)*a1*l+3*c*A*m*k^2)*a4+(5/2)*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^2+((A^2*k^2*m+a0*l)*a4+(1/2)*k^2*m*B*a1*c+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H+(1/2)*((B*A+(1/2)*c^2)*a1+3*B*a0*c)*m*k^2+((1/4)*a0*a3+(1/4)*a1*a2)*l-(1/8)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*(diff(G(xi), xi))^3-48*((7/3)*H^6*a4^2*l+(7/2)*H^5*a3*a4*l+(((1/3)*m*(B*A+(1/2)*c^2)*k^2+(5/2)*l*a2-(5/4)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(5/4)*a3^2*l)*H^4+(((5/3)*a1*l+(4/3)*c*A*m*k^2)*a4+(5/3)*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^3+((A^2*k^2*m+a0*l)*a4+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H^2+((1/3)*(B*A+(1/2)*c^2)*a1*m*k^2+((1/2)*a0*a3+(1/2)*a1*a2)*l-(1/4)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*H+(1/3)*m*(A*a1*c+3*(B*A+(1/2)*c^2)*a0)*k^2+((1/6)*a0*a2+(1/12)*a1^2)*l-(1/12)*(nu-(1/2)*n-1)*a0*(nu-(1/2)*n+1))*G(xi)^12*(diff(G(xi), xi))^2-8*(4*a4^2*H^7*l+7*a3*a4*H^6*l+((6*l*a2+3*nu*n-3*nu^2-(3/4)*n^2+3)*a4+3*a3^2*l)*H^5+((2*A*c*k^2*m+5*a1*l)*a4+5*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^4+((4*A^2*k^2*m+4*a0*l)*a4+(4*a1*a3+2*a2^2)*l-2*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H^3+((3*a0*a3+3*a1*a2)*l-(3/2)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*H^2+(2*k^2*m*A*a1*c+(2*a0*a2+a1^2)*l-(nu-(1/2)*n-1)*a0*(nu-(1/2)*n+1))*H+A*m*(A*a1+6*a0*c)*k^2+a1*l*a0)*G(xi)^14*(diff(G(xi), xi))-8*G(xi)^16*((1/2)*H^8*a4^2*l+H^7*a3*a4*l+((l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(1/2)*a3^2*l)*H^6+(a1*a4*l+a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^5+((A^2*k^2*m+a0*l)*a4+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H^4+((a0*a3+a1*a2)*l-(1/2)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*H^3+(((1/2)*a1^2+a0*a2)*l-(1/2)*(nu-(1/2)*n-1)*a0*(nu-(1/2)*n+1))*H^2+a1*(A^2*k^2*m+a0*l)*H+(1/2)*a0^2*l+3*k^2*m*A^2*a0)" height="2010" src="/view.aspx?sf=240031_question/620f31a5821accb1ab8af1185e690b90.gif" style="vertical-align:-1980px" width="738"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(4)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;Eqs:={seq(EQ[i],i=0..12)}: &lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;sol:=solve(Eqs,{a0, a1, a2, a3, a4, H, nu},explicit)&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img height="24" src="/view.aspx?sf=240031_question/ad968a49cb3d447d4b6aecb7c2bd4e70.gif" style="vertical-align:-7px" width="65"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(5)&lt;/td&gt;
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&lt;input name="sequence" type="hidden" value="1"&gt; &lt;input name="cmd" type="hidden" value="none"&gt;&lt;/form&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=240031_question/GGGGGGG2.mw"&gt;Download GGGGGGG2.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;Hi,&lt;/p&gt;

&lt;p&gt;In order to obtain an algebraic system, one must set the coeffcients of (H + G&amp;prime;/G2)i to zero. Solve the obtained algebraic system.&lt;/p&gt;

&lt;p&gt;But the expressions were not arranged correctly, but no answer was obtained, while the answer was as follows:&lt;/p&gt;

&lt;p&gt;&lt;img src="/view.aspx?sf=240031_question/123.PNG"&gt;&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="C9DFEAA2B73659EE17BD416A45CA5195"&gt;
&lt;table align="center" width="768"&gt;
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			&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="``" height="23" src="/view.aspx?sf=240031_question/947a887ba62054861e608ca7f4a59c1e.gif" style="vertical-align:-6px" width="11"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=240031_question/dda31a7e5801cf7c787a2be4237f2487.gif" style="vertical-align:-6px" width="11"&gt;&lt;/p&gt;

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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;restart&lt;/span&gt;&lt;/p&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;with(PDEtools):&lt;/span&gt;&lt;br&gt;
						&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;df:= diff(diff(G(xi), xi)/(G(xi)^2), xi)= A+B*(diff(G(xi), xi)/(G(xi)^2))^2+ c*(diff(G(xi), xi)/(G(xi)^2));&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="(diff(diff(G(xi), xi), xi))/G(xi)^2-2*(diff(G(xi), xi))^2/G(xi)^3 = A+B*(diff(G(xi), xi))^2/G(xi)^4+c*(diff(G(xi), xi))/G(xi)^2" height="79" src="/view.aspx?sf=240031_question/05419e28482fcee3a3671ee20abede46.gif" style="vertical-align:-23px" width="522"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(1)&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;a := [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10]:&lt;/span&gt;&lt;/p&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;
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			&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=240031_question/6189f9f9aa4f705f9e3c672d73eb3140.gif" style="vertical-align:-6px" width="11"&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;p:= -2: q:= 2:&lt;/span&gt;&lt;/p&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
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					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;Y1 :=xi -&amp;gt; (add(a[i+3]*(H+(diff(G(xi), xi)/(G(xi)^2)))^i, i = p .. q)):&lt;/span&gt;&lt;/p&gt;
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			&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=240031_question/10cc8c2190409da407968fe72499f643.gif" style="vertical-align:-6px" width="11"&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;eq1 := -4*(k^2)*m*diff(Y1(xi), xi,xi) - 4*l*(Y1(xi)^2)+(4*(nu^2)-4*nu*n+n^2-4)*Y1(xi):&lt;/span&gt;&lt;/p&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;eq2:=subs(df,eq1);&lt;/span&gt;&lt;/p&gt;
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			&lt;table&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="-4*k^2*m*(6*a0*(A+B*(diff(G(xi), xi))^2/G(xi)^4+c*(diff(G(xi), xi))/G(xi)^2)^2/(H+(diff(G(xi), xi))/G(xi)^2)^4-2*a0*((diff(diff(diff(G(xi), xi), xi), xi))/G(xi)^2-6*(diff(diff(G(xi), xi), xi))*(diff(G(xi), xi))/G(xi)^3+6*(diff(G(xi), xi))^3/G(xi)^4)/(H+(diff(G(xi), xi))/G(xi)^2)^3+2*a1*(A+B*(diff(G(xi), xi))^2/G(xi)^4+c*(diff(G(xi), xi))/G(xi)^2)^2/(H+(diff(G(xi), xi))/G(xi)^2)^3-a1*((diff(diff(diff(G(xi), xi), xi), xi))/G(xi)^2-6*(diff(diff(G(xi), xi), xi))*(diff(G(xi), xi))/G(xi)^3+6*(diff(G(xi), xi))^3/G(xi)^4)/(H+(diff(G(xi), xi))/G(xi)^2)^2+a3*((diff(diff(diff(G(xi), xi), xi), xi))/G(xi)^2-6*(diff(diff(G(xi), xi), xi))*(diff(G(xi), xi))/G(xi)^3+6*(diff(G(xi), xi))^3/G(xi)^4)+2*a4*(A+B*(diff(G(xi), xi))^2/G(xi)^4+c*(diff(G(xi), xi))/G(xi)^2)^2+2*a4*(H+(diff(G(xi), xi))/G(xi)^2)*((diff(diff(diff(G(xi), xi), xi), xi))/G(xi)^2-6*(diff(diff(G(xi), xi), xi))*(diff(G(xi), xi))/G(xi)^3+6*(diff(G(xi), xi))^3/G(xi)^4))-4*l*(a0/(H+(diff(G(xi), xi))/G(xi)^2)^2+a1/(H+(diff(G(xi), xi))/G(xi)^2)+a2+a3*(H+(diff(G(xi), xi))/G(xi)^2)+a4*(H+(diff(G(xi), xi))/G(xi)^2)^2)^2+(n^2-4*n*nu+4*nu^2-4)*(a0/(H+(diff(G(xi), xi))/G(xi)^2)^2+a1/(H+(diff(G(xi), xi))/G(xi)^2)+a2+a3*(H+(diff(G(xi), xi))/G(xi)^2)+a4*(H+(diff(G(xi), xi))/G(xi)^2)^2)" height="1216" src="/view.aspx?sf=240031_question/f9f360df311ab46a83deb3a14a3acab0.gif" style="vertical-align:-1134px" width="738"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(2)&lt;/td&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;simplify(eq2):&lt;/span&gt;&lt;/p&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;fin1:=simplify(numer(%)):&lt;/span&gt;&lt;/p&gt;
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			&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="``" height="23" src="/view.aspx?sf=240031_question/8f632e76668af0f4b321665665e06ca1.gif" style="vertical-align:-6px" width="11"&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;for i from 0 to degree(fin1,H+(diff(G(xi), xi)/(G(xi)^2))) do EQ[i]:=simplify(coeff(fin1,H+(diff(G(xi), xi)/(G(xi)^2)),i)); end do;&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="4*k^2*(H*G(xi)^2+diff(G(xi), xi))*(-2*(diff(G(xi), xi))^4*a4-G(xi)^2*(8*H*a4+a3)*(diff(G(xi), xi))^3-3*G(xi)^4*H*(4*H*a4+a3)*(diff(G(xi), xi))^2+G(xi)^6*(-8*H^3*a4-3*H^2*a3+a1)*(diff(G(xi), xi))+G(xi)^8*(-2*H^4*a4-H^3*a3+H*a1+2*a0))*m*G(xi)^4*(diff(diff(diff(G(xi), xi), xi), xi))-24*(diff(G(xi), xi))*k^2*(H*G(xi)^2+diff(G(xi), xi))*(-2*(diff(G(xi), xi))^4*a4-G(xi)^2*(8*H*a4+a3)*(diff(G(xi), xi))^3-3*G(xi)^4*H*(4*H*a4+a3)*(diff(G(xi), xi))^2+G(xi)^6*(-8*H^3*a4-3*H^2*a3+a1)*(diff(G(xi), xi))+G(xi)^8*(-2*H^4*a4-H^3*a3+H*a1+2*a0))*m*G(xi)^3*(diff(diff(G(xi), xi), xi))-4*a4*(12*k^2*m*G(xi)^2+2*B^2*m*k^2+a4*l)*(diff(G(xi), xi))^8-8*G(xi)^2*(3*k^2*m*(10*H*a4+a3)*G(xi)^2+a4*((4*B^2*k^2*m+4*a4*l)*H+2*c*B*m*k^2+a3*l))*(diff(G(xi), xi))^7-16*(6*H*k^2*m*(5*H*a4+a3)*G(xi)^2+(3*B^2*a4*k^2*m+7*a4^2*l)*H^2+(7/2)*((8/7)*c*B*m*k^2+a3*l)*a4*H+(m*(B*A+(1/2)*c^2)*k^2+(1/2)*l*a2-(1/4)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(1/4)*a3^2*l)*G(xi)^4*(diff(G(xi), xi))^6-64*G(xi)^6*(-(3/8)*k^2*m*(-20*H^3*a4-6*H^2*a3+a1)*G(xi)^2+((1/2)*k^2*m*B^2*a4+(7/2)*a4^2*l)*H^3+(21/8)*((4/7)*c*B*m*k^2+a3*l)*a4*H^2+((m*(B*A+(1/2)*c^2)*k^2+(3/4)*l*a2-(3/8)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(3/8)*a3^2*l)*H+((1/4)*c*A*m*k^2+(1/8)*a1*l)*a4+(1/8)*a1*B^2*k^2*m+(1/8)*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*(diff(G(xi), xi))^5-8*G(xi)^8*(-6*k^2*m*(-5*H^4*a4-2*H^3*a3+H*a1+a0)*G(xi)^2+(B^2*a4*k^2*m+35*a4^2*l)*H^4+35*((8/35)*c*B*m*k^2+a3*l)*a4*H^3+(((12*A*B+6*c^2)*m*k^2+15*l*a2-(15/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(15/2)*a3^2*l)*H^2+((8*A*c*k^2*m+5*a1*l)*a4+a1*B^2*k^2*m+5*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H+(A^2*k^2*m+a0*l)*a4+(3*B^2*a0+2*B*a1*c)*m*k^2+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*(diff(G(xi), xi))^4-32*G(xi)^10*(-(3/4)*H*k^2*m*(-2*H^4*a4-H^3*a3+H*a1+2*a0)*G(xi)^2+7*H^5*a4^2*l+(35/4)*((2/35)*c*B*m*k^2+a3*l)*a4*H^4+((m*(2*A*B+c^2)*k^2+5*l*a2-(5/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(5/2)*a3^2*l)*H^3+(((5/2)*a1*l+3*c*A*m*k^2)*a4+(5/2)*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^2+((A^2*k^2*m+a0*l)*a4+(1/2)*k^2*m*B*a1*c+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H+(1/2)*((B*A+(1/2)*c^2)*a1+3*B*a0*c)*m*k^2+((1/4)*a0*a3+(1/4)*a1*a2)*l-(1/8)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*(diff(G(xi), xi))^3-48*((7/3)*H^6*a4^2*l+(7/2)*H^5*a3*a4*l+(((1/3)*m*(B*A+(1/2)*c^2)*k^2+(5/2)*l*a2-(5/4)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(5/4)*a3^2*l)*H^4+(((5/3)*a1*l+(4/3)*c*A*m*k^2)*a4+(5/3)*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^3+((A^2*k^2*m+a0*l)*a4+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H^2+((1/3)*(B*A+(1/2)*c^2)*a1*m*k^2+((1/2)*a0*a3+(1/2)*a1*a2)*l-(1/4)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*H+(1/3)*m*(A*a1*c+3*(B*A+(1/2)*c^2)*a0)*k^2+((1/6)*a0*a2+(1/12)*a1^2)*l-(1/12)*(nu-(1/2)*n-1)*a0*(nu-(1/2)*n+1))*G(xi)^12*(diff(G(xi), xi))^2-8*(4*a4^2*H^7*l+7*a3*a4*H^6*l+((6*l*a2+3*nu*n-3*nu^2-(3/4)*n^2+3)*a4+3*a3^2*l)*H^5+((2*A*c*k^2*m+5*a1*l)*a4+5*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^4+((4*A^2*k^2*m+4*a0*l)*a4+(4*a1*a3+2*a2^2)*l-2*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H^3+((3*a0*a3+3*a1*a2)*l-(3/2)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*H^2+(2*k^2*m*A*a1*c+(2*a0*a2+a1^2)*l-(nu-(1/2)*n-1)*a0*(nu-(1/2)*n+1))*H+A*m*(A*a1+6*a0*c)*k^2+a1*l*a0)*G(xi)^14*(diff(G(xi), xi))-8*G(xi)^16*((1/2)*H^8*a4^2*l+H^7*a3*a4*l+((l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(1/2)*a3^2*l)*H^6+(a1*a4*l+a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^5+((A^2*k^2*m+a0*l)*a4+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H^4+((a0*a3+a1*a2)*l-(1/2)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*H^3+(((1/2)*a1^2+a0*a2)*l-(1/2)*(nu-(1/2)*n-1)*a0*(nu-(1/2)*n+1))*H^2+a1*(A^2*k^2*m+a0*l)*H+(1/2)*a0^2*l+3*k^2*m*A^2*a0)" height="2010" src="/view.aspx?sf=240031_question/cec576c33686191c6a5ce25d6fbebe9e.gif" style="vertical-align:-1980px" width="738"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(3)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=240031_question/223266a8270758a596c81eca27dde628.gif" style="vertical-align:-6px" width="11"&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;for i from 0 to degree(fin1,H+(diff(G(xi), xi)/(G(xi)^2))) do EQ[i]:=simplify(coeff(fin1,H+(diff(G(xi), xi)/(G(xi)^2)),i)); end do;&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
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			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="4*k^2*(H*G(xi)^2+diff(G(xi), xi))*(-2*(diff(G(xi), xi))^4*a4-G(xi)^2*(8*H*a4+a3)*(diff(G(xi), xi))^3-3*G(xi)^4*H*(4*H*a4+a3)*(diff(G(xi), xi))^2+G(xi)^6*(-8*H^3*a4-3*H^2*a3+a1)*(diff(G(xi), xi))+G(xi)^8*(-2*H^4*a4-H^3*a3+H*a1+2*a0))*m*G(xi)^4*(diff(diff(diff(G(xi), xi), xi), xi))-24*(diff(G(xi), xi))*k^2*(H*G(xi)^2+diff(G(xi), xi))*(-2*(diff(G(xi), xi))^4*a4-G(xi)^2*(8*H*a4+a3)*(diff(G(xi), xi))^3-3*G(xi)^4*H*(4*H*a4+a3)*(diff(G(xi), xi))^2+G(xi)^6*(-8*H^3*a4-3*H^2*a3+a1)*(diff(G(xi), xi))+G(xi)^8*(-2*H^4*a4-H^3*a3+H*a1+2*a0))*m*G(xi)^3*(diff(diff(G(xi), xi), xi))-4*a4*(12*k^2*m*G(xi)^2+2*B^2*m*k^2+a4*l)*(diff(G(xi), xi))^8-8*G(xi)^2*(3*k^2*m*(10*H*a4+a3)*G(xi)^2+a4*((4*B^2*k^2*m+4*a4*l)*H+2*c*B*m*k^2+a3*l))*(diff(G(xi), xi))^7-16*(6*H*k^2*m*(5*H*a4+a3)*G(xi)^2+(3*B^2*a4*k^2*m+7*a4^2*l)*H^2+(7/2)*((8/7)*c*B*m*k^2+a3*l)*a4*H+(m*(B*A+(1/2)*c^2)*k^2+(1/2)*l*a2-(1/4)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(1/4)*a3^2*l)*G(xi)^4*(diff(G(xi), xi))^6-64*G(xi)^6*(-(3/8)*k^2*m*(-20*H^3*a4-6*H^2*a3+a1)*G(xi)^2+((1/2)*k^2*m*B^2*a4+(7/2)*a4^2*l)*H^3+(21/8)*((4/7)*c*B*m*k^2+a3*l)*a4*H^2+((m*(B*A+(1/2)*c^2)*k^2+(3/4)*l*a2-(3/8)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(3/8)*a3^2*l)*H+((1/4)*c*A*m*k^2+(1/8)*a1*l)*a4+(1/8)*a1*B^2*k^2*m+(1/8)*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*(diff(G(xi), xi))^5-8*G(xi)^8*(-6*k^2*m*(-5*H^4*a4-2*H^3*a3+H*a1+a0)*G(xi)^2+(B^2*a4*k^2*m+35*a4^2*l)*H^4+35*((8/35)*c*B*m*k^2+a3*l)*a4*H^3+(((12*A*B+6*c^2)*m*k^2+15*l*a2-(15/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(15/2)*a3^2*l)*H^2+((8*A*c*k^2*m+5*a1*l)*a4+a1*B^2*k^2*m+5*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H+(A^2*k^2*m+a0*l)*a4+(3*B^2*a0+2*B*a1*c)*m*k^2+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*(diff(G(xi), xi))^4-32*G(xi)^10*(-(3/4)*H*k^2*m*(-2*H^4*a4-H^3*a3+H*a1+2*a0)*G(xi)^2+7*H^5*a4^2*l+(35/4)*((2/35)*c*B*m*k^2+a3*l)*a4*H^4+((m*(2*A*B+c^2)*k^2+5*l*a2-(5/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(5/2)*a3^2*l)*H^3+(((5/2)*a1*l+3*c*A*m*k^2)*a4+(5/2)*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^2+((A^2*k^2*m+a0*l)*a4+(1/2)*k^2*m*B*a1*c+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H+(1/2)*((B*A+(1/2)*c^2)*a1+3*B*a0*c)*m*k^2+((1/4)*a0*a3+(1/4)*a1*a2)*l-(1/8)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*(diff(G(xi), xi))^3-48*((7/3)*H^6*a4^2*l+(7/2)*H^5*a3*a4*l+(((1/3)*m*(B*A+(1/2)*c^2)*k^2+(5/2)*l*a2-(5/4)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(5/4)*a3^2*l)*H^4+(((5/3)*a1*l+(4/3)*c*A*m*k^2)*a4+(5/3)*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^3+((A^2*k^2*m+a0*l)*a4+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H^2+((1/3)*(B*A+(1/2)*c^2)*a1*m*k^2+((1/2)*a0*a3+(1/2)*a1*a2)*l-(1/4)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*H+(1/3)*m*(A*a1*c+3*(B*A+(1/2)*c^2)*a0)*k^2+((1/6)*a0*a2+(1/12)*a1^2)*l-(1/12)*(nu-(1/2)*n-1)*a0*(nu-(1/2)*n+1))*G(xi)^12*(diff(G(xi), xi))^2-8*(4*a4^2*H^7*l+7*a3*a4*H^6*l+((6*l*a2+3*nu*n-3*nu^2-(3/4)*n^2+3)*a4+3*a3^2*l)*H^5+((2*A*c*k^2*m+5*a1*l)*a4+5*a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^4+((4*A^2*k^2*m+4*a0*l)*a4+(4*a1*a3+2*a2^2)*l-2*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H^3+((3*a0*a3+3*a1*a2)*l-(3/2)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*H^2+(2*k^2*m*A*a1*c+(2*a0*a2+a1^2)*l-(nu-(1/2)*n-1)*a0*(nu-(1/2)*n+1))*H+A*m*(A*a1+6*a0*c)*k^2+a1*l*a0)*G(xi)^14*(diff(G(xi), xi))-8*G(xi)^16*((1/2)*H^8*a4^2*l+H^7*a3*a4*l+((l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1))*a4+(1/2)*a3^2*l)*H^6+(a1*a4*l+a3*(l*a2-(1/2)*(nu-(1/2)*n-1)*(nu-(1/2)*n+1)))*H^5+((A^2*k^2*m+a0*l)*a4+(a1*a3+(1/2)*a2^2)*l-(1/2)*(nu-(1/2)*n-1)*a2*(nu-(1/2)*n+1))*H^4+((a0*a3+a1*a2)*l-(1/2)*(nu-(1/2)*n-1)*a1*(nu-(1/2)*n+1))*H^3+(((1/2)*a1^2+a0*a2)*l-(1/2)*(nu-(1/2)*n-1)*a0*(nu-(1/2)*n+1))*H^2+a1*(A^2*k^2*m+a0*l)*H+(1/2)*a0^2*l+3*k^2*m*A^2*a0)" height="2010" src="/view.aspx?sf=240031_question/620f31a5821accb1ab8af1185e690b90.gif" style="vertical-align:-1980px" width="738"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(4)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;Eqs:={seq(EQ[i],i=0..12)}: &lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;sol:=solve(Eqs,{a0, a1, a2, a3, a4, H, nu},explicit)&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
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			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img height="24" src="/view.aspx?sf=240031_question/ad968a49cb3d447d4b6aecb7c2bd4e70.gif" style="vertical-align:-7px" width="65"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(5)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&amp;nbsp;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&amp;nbsp;&lt;/p&gt;
						&lt;/td&gt;
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				&lt;/tbody&gt;
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			&lt;/td&gt;
		&lt;/tr&gt;
	&lt;/tbody&gt;
&lt;/table&gt;
&lt;input name="sequence" type="hidden" value="1"&gt; &lt;input name="cmd" type="hidden" value="none"&gt;&lt;/form&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=240031_question/GGGGGGG2.mw"&gt;Download GGGGGGG2.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>240031</guid>
      <pubDate>Wed, 12 Mar 2025 12:33:55 Z</pubDate>
      <itunes:author>delvin</itunes:author>
      <author>delvin</author>
    </item>
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