1. Use Laplace transforms to solve the following initial value problem:y” + 2y’ + y = 2e-1, y (0) = 1, y’ (0) = 0
2. Find the Laplace transform of the following function:
f(t)=sin(2t)cos(2t)
3. Compute the inverse Laplace transform of the following function. Your answer should be a function f(t).The function was shown in figure 1.
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