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Solving Initial Value Problems : Laplace Transforms and Convolution Theorem

1. For the problem given below use the convolution theorem to write a formula for the solution of the I.V. problem in terms of f(t)


y(0) = y'(0)=0

2. Use Laplace Transforms to solve the following equation

t^2 y'-2y = 2 (no IC's)

Solution This solution is FREE courtesy of BrainMass!

I am still puzzled regarding the second one. Why on earth one would want to demonstrate the Laplace transform method on a problem which only complicates the solution? Anyway, in the end I solve it again, this time in a more direct way, just to show how to get to the solution without all the transform stuff. It was also a good check that I actually got the correct result.

Please see the attached file.