# 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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