
Solving Initial Value Problems with Mathematica's Solver
Solve each of the following initial value problems using Mathematica.

y″  6y′ + 9y = xe^{3x}, y(0) = 1, y′(0) = 0

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

y″ + 3y′ + 2y = sin(e^{x}), y(0) = 0, y′(0) = 0

4y″  4y′ + y = e^{x/2}(1  x^{2})^{1/2}, y(0) = 0, y′(0) = 0
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Welcome back! You may be wondering how well you did. Click on the icon on the left to see the answers you should have gotten. (Only the answers are given, so if you don't match our results you need to figure out what you did wrong.)
Hopefully you didn't encounter any insurmountable problems on any of the
exercises you just completed. Let's finish up this lab with a few final comments...

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