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    <title>MaplePrimes - answers and comments on Question, How do I plot this equation on a direction field</title>
    <link>http://www.mapleprimes.com/questions/230481-How-Do-I-Plot-This-Equation-On-A-Direction-Field</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
    <generator>Maplesoft Document System</generator>
    <lastBuildDate>Sat, 04 Apr 2026 09:14:59 GMT</lastBuildDate>
    <pubDate>Sat, 04 Apr 2026 09:14:59 GMT</pubDate>
    <itunes:subtitle />
    <itunes:summary />
    <description>The latest answers and comments added to the Question, How do I plot this equation on a direction field</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - answers and comments on Question, How do I plot this equation on a direction field</title>
      <link>http://www.mapleprimes.com/questions/230481-How-Do-I-Plot-This-Equation-On-A-Direction-Field</link>
    </image>
    <item>
      <title>scene, conditions</title>
      <link>http://www.mapleprimes.com/questions/230481-How-Do-I-Plot-This-Equation-On-A-Direction-Field?ref=Feed:MaplePrimes:How do I plot this equation on a direction field:Comments#answer272881</link>
      <itunes:summary>&lt;p&gt;I don&amp;#39;t know what you meant by&amp;nbsp;&lt;strong&gt;scene= [P, P(t)]&lt;/strong&gt;. I changed it to&amp;nbsp;&lt;strong&gt;scene= [t, P(t)]&lt;/strong&gt;. I don&amp;#39;t know what you meant by&amp;nbsp;&lt;strong&gt;conditions&lt;/strong&gt;. I just omitted that. If the below is not what you want, then if you can explain what you meant, I&amp;#39;ll probably be able to tell you how to do it.&lt;/p&gt;

&lt;pre class="prettyprint"&gt;
&lt;span style="color:#B22222;"&gt;&lt;strong&gt;DEtools:-DEplot(
   diff(P(t),t) = P(t)*(7-P(t))-10, P(t), t= -10..10, P= -10..10, 
   scene= [t, P(t)], number= 1, stepsize= .01
);&lt;/strong&gt;&lt;/span&gt;&lt;/pre&gt;

&lt;p&gt;&lt;img 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" /&gt;&lt;/p&gt;

&lt;p&gt;To include a trajectory in the plot, you of course need intial conditions,&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;I don&amp;#39;t know what you meant by&amp;nbsp;&lt;strong&gt;scene= [P, P(t)]&lt;/strong&gt;. I changed it to&amp;nbsp;&lt;strong&gt;scene= [t, P(t)]&lt;/strong&gt;. I don&amp;#39;t know what you meant by&amp;nbsp;&lt;strong&gt;conditions&lt;/strong&gt;. I just omitted that. If the below is not what you want, then if you can explain what you meant, I&amp;#39;ll probably be able to tell you how to do it.&lt;/p&gt;

&lt;pre class="prettyprint"&gt;
&lt;span style="color:#B22222;"&gt;&lt;strong&gt;DEtools:-DEplot(
   diff(P(t),t) = P(t)*(7-P(t))-10, P(t), t= -10..10, P= -10..10, 
   scene= [t, P(t)], number= 1, stepsize= .01
);&lt;/strong&gt;&lt;/span&gt;&lt;/pre&gt;

&lt;p&gt;&lt;img 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" /&gt;&lt;/p&gt;

&lt;p&gt;To include a trajectory in the plot, you of course need intial conditions,&lt;/p&gt;
</description>
      <guid>272881</guid>
      <pubDate>Sat, 05 Sep 2020 21:26:28 Z</pubDate>
      <itunes:author>Carl Love</itunes:author>
      <author>Carl Love</author>
    </item>
    <item>
      <title>Use the Direction Field Task Template</title>
      <link>http://www.mapleprimes.com/questions/230481-How-Do-I-Plot-This-Equation-On-A-Direction-Field?ref=Feed:MaplePrimes:How do I plot this equation on a direction field:Comments#answer272888</link>
      <itunes:summary>&lt;p&gt;The worksheet at the end of the link below shows how to use the syntax-free Direction Field Task Template. From the earlier responses, it seemed to me that the issue in using the DEplot command was mastery of the syntax. The built-in Task Template is a way to avoid the struggle with syntax.&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=272888_Answer/Direction_Field_Task_Template.mw"&gt;Direction_Field_Task_Template.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;The worksheet at the end of the link below shows how to use the syntax-free Direction Field Task Template. From the earlier responses, it seemed to me that the issue in using the DEplot command was mastery of the syntax. The built-in Task Template is a way to avoid the struggle with syntax.&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=272888_Answer/Direction_Field_Task_Template.mw"&gt;Direction_Field_Task_Template.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>272888</guid>
      <pubDate>Sun, 06 Sep 2020 00:09:39 Z</pubDate>
      <itunes:author>rlopez</itunes:author>
      <author>rlopez</author>
    </item>
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