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....


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.


s²+2s-2<br>F(s) =<br>s3-s<br>figure 1<br>

Extracted text: s²+2s-2 F(s) = s3-s figure 1

Jun 03, 2022
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