Visualizing the Solution of Two Linear Differential Equations

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The analytical solutions of the two differential equations and
, subject to the initial conditions
and
are used to create two plots, a parametric plot of a curve with horizontal coordinate
and vertical coordinate
and a standard plot of
and
as functions of
from 0 to
.
Contributed by: Mikhail Dimitrov Mikhailov (March 2011)
Open content licensed under CC BY-NC-SA
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Details
The expressions for and
given by the Mathematica built-in function DSolve are not applicable when
. For this special case the solutions are simplified using Mathematica's Limit function. Thus our function twoDSolve correctly computes
and
for all parameters specified.
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