>

template5.mws

> restart;

This worksheet contains a general outline that should be useful in the search for a general solution to an nonhomogeneous linear ODE with constant coefficients and for the determination of the solution to an initial value problem for such an equation.

> with( DEtools ):

> with( plots ):

>

Step 0: Specify the Nonhomogeneous Problem

Step 1: General Solution to Homogeneous Equation ( )

Step 2: Any Solution to Nonhomogeneous Equation ( )

Step 3: General Solution to Nonhomogeneous Equation

Step 4: Solution to Initial Value Problem (optional)

Compare with Direct Solution via dsolve