- Author:
- Randall Britten <r.britten@auckland.ac.nz>
- Date:
- 2014-05-28 14:56:48+12:00
- Desc:
- Linear second order ODE with constant coefficients and "right hand side" term.
See https://en.wikipedia.org/wiki/Linear_differential_equation#Nonhomogeneous_equation_with_constant_coefficients
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/1ac/rawfile/dd69335079634cc687f6022a3c88532820a3d1f0/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>
