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<a name="Differential-Algebraic-Equations-1"></a>
<h2 class="chapter">12 Differential Algebraic Equations</h2>
<a name="index-DAE"></a>

<dl>
<dt><a name="index-DAE-1"></a>: <em></em> <strong>DAE</strong> <em>(void)</em></dt>
<dt><a name="index-DAE-2"></a>: <em></em> <strong>DAE</strong> <em>(int <var>n</var>)</em></dt>
<dt><a name="index-DAE-3"></a>: <em></em> <strong>DAE</strong> <em>(const ColumnVector &amp;<var>x</var>, double <var>time</var>, DAEFunc &amp;<var>f</var>)</em></dt>
<dt><a name="index-DAE-4"></a>: <em></em> <strong>DAE</strong> <em>(const ColumnVector &amp;<var>x</var>, ColumnVector &amp;<var>xdot</var>, double <var>time</var>, DAEFunc &amp;<var>f</var>)</em></dt>
</dl>

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<dt><a name="index-deriv"></a>: <em>ColumnVector</em> <strong>deriv</strong> <em>(void)</em></dt>
</dl>

<dl>
<dt><a name="index-initialize-1"></a>: <em>virtual void</em> <strong>initialize</strong> <em>(const ColumnVector &amp;<var>x</var>, double <var>t</var>)</em></dt>
<dt><a name="index-initialize-2"></a>: <em>virtual void</em> <strong>initialize</strong> <em>(const ColumnVector &amp;<var>x</var>, ColumnVector &amp;<var>xdot</var>, double <var>t</var>)</em></dt>
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<dl>
<dt><a name="index-integrate-8"></a>: <em>ColumnVector</em> <strong>integrate</strong> <em>(double <var>t</var>)</em></dt>
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<dt><a name="index-integrate-9"></a>: <em>Matrix</em> <strong>integrate</strong> <em>(const ColumnVector &amp;<var>tout</var>, Matrix &amp;<var>xdot_out</var>)</em></dt>
<dt><a name="index-integrate-10"></a>: <em>Matrix</em> <strong>integrate</strong> <em>(const ColumnVector &amp;<var>tout</var>, Matrix &amp;<var>xdot_out</var>, const ColumnVector &amp;<var>tcrit</var>)</em></dt>
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