## Solving Initial Value Problemswith Mathematica's Solver

Solve each of the following initial value problems using Mathematica.

1. y″ - 6y′ + 9y = xe3x, y(0) = 1, y′(0) = 0

2. y″ + 25y = cos(5x), y(0) = 0, y′(0) = 0

3. y″ + 3y′ + 2y = sin(ex), y(0) = 0, y′(0) = 0

4. 4y″ - 4y′ + y = ex/2(1 - x2)1/2, y(0) = 0, y′(0) = 0

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ODE Laboratories: A Sabbatical Project by Christopher A. Barker

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