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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)

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I am still puzzled regarding the second one. Why on earth one would want to demonstrate the Laplace ...

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