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    <title>MaplePrimes - answers and comments on Question, how can I convert a DAE system with complex initial condition to a real system?</title>
    <link>http://www.mapleprimes.com/questions/36758-How-Can-I-Convert-A-DAE-System-With</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
    <generator>Maplesoft Document System</generator>
    <lastBuildDate>Sat, 13 Jun 2026 20:01:22 GMT</lastBuildDate>
    <pubDate>Sat, 13 Jun 2026 20:01:22 GMT</pubDate>
    <itunes:subtitle />
    <itunes:summary />
    <description>The latest answers and comments added to the Question, how can I convert a DAE system with complex initial condition to a real system?</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - answers and comments on Question, how can I convert a DAE system with complex initial condition to a real system?</title>
      <link>http://www.mapleprimes.com/questions/36758-How-Can-I-Convert-A-DAE-System-With</link>
    </image>
    <item>
      <title>Real and imaginary parts</title>
      <link>http://www.mapleprimes.com/questions/36758-How-Can-I-Convert-A-DAE-System-With?ref=Feed:MaplePrimes:how can I convert a DAE system with complex initial condition to a real system?:Comments#answer63524</link>
      <itunes:summary>&lt;p&gt;Write each complex variable in terms of its real and imaginary parts.&amp;nbsp; Each equation splits into two, one for the real part and one for the imaginary part.&amp;nbsp; For example: if the original system is &lt;b&gt;sys&lt;/b&gt; with variables &lt;b&gt;x(t)&lt;/b&gt; and &lt;b&gt;y(t)&lt;/b&gt;, your new system, using variables &lt;b&gt;xre(t), xim(t), yre(t), yim(t)&lt;/b&gt;, is &lt;/p&gt;
&lt;pre&gt;
&amp;gt; newsys:= map(eq -&amp;gt; (evalc(Re(eq)), evalc(Im(eq))), 
    eval(sys, {x(t) = xre(t) + I*xim(t), y(t) = yre(t) + I*yim(t)})); 
&lt;/pre&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;Write each complex variable in terms of its real and imaginary parts.&amp;nbsp; Each equation splits into two, one for the real part and one for the imaginary part.&amp;nbsp; For example: if the original system is &lt;b&gt;sys&lt;/b&gt; with variables &lt;b&gt;x(t)&lt;/b&gt; and &lt;b&gt;y(t)&lt;/b&gt;, your new system, using variables &lt;b&gt;xre(t), xim(t), yre(t), yim(t)&lt;/b&gt;, is &lt;/p&gt;
&lt;pre&gt;
&amp;gt; newsys:= map(eq -&amp;gt; (evalc(Re(eq)), evalc(Im(eq))), 
    eval(sys, {x(t) = xre(t) + I*xim(t), y(t) = yre(t) + I*yim(t)})); 
&lt;/pre&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;</description>
      <guid>63524</guid>
      <pubDate>Sun, 06 Sep 2009 23:24:21 Z</pubDate>
      <itunes:author>Robert Israel</itunes:author>
      <author>Robert Israel</author>
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