Location: Linear 2nd order nonhomogeneous ODE with constant coefficients @ dc008a6714dc / Linear2ndOrderODE.cellml

Author:
Randall Britten <r.britten@auckland.ac.nz>
Date:
2014-05-28 17:17:21+12:00
Desc:
Added HTML for exposure.
Permanent Source URI:
https://models.physiomeproject.org/workspace/1ac/rawfile/dc008a6714dc48840df32f1f756a4bd03507491d/Linear2ndOrderODE.cellml

<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" name="Linear2ndOrderODE">
  <component name="DampedForcedHarmonicOscillator">
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci>t
            </ci>
          </bvar>
          <ci>u
          </ci>
        </apply>
        <ci>v
        </ci>
      </apply>
      <apply>
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci>t
            </ci>
          </bvar>
          <ci>v
          </ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <minus/>
            <ci>c
            </ci>
            <apply>
              <times/>
              <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">2
              </cn>
              <ci>a
              </ci>
              <ci>v
              </ci>
            </apply>
          </apply>
          <apply>
            <times/>
            <ci>b
            </ci>
            <ci>u
            </ci>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>a
        </ci>
        <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">1
        </cn>
      </apply>
      <apply>
        <eq/>
        <ci>b
        </ci>
        <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">1
        </cn>
      </apply>
      <apply>
        <eq/>
        <ci>c
        </ci>
        <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">1
        </cn>
      </apply>
    </math>
    <variable name="t" units="dimensionless"/>
    <variable initial_value="1" name="u" units="dimensionless"/>
    <variable initial_value="1" name="v" units="dimensionless"/>
    <variable name="c" units="dimensionless"/>
    <variable name="a" units="dimensionless"/>
    <variable name="b" units="dimensionless"/>
  </component>
</model>