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Problem 1. (30 pts) Use the Laplace transform definition (Equation 3-1 in the textbook) to find analytically the Laplace transforms of the following function a.

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Problem 1. (30 pts) Use the Laplace transform definition (Equation 3-1 in the textbook) to find analytically the Laplace transforms of the following function a. (15 pts) y(t)=5+t+e2tcos0.5t+t2et b. (15 pts )y(t)=eatsint Compare your solutions to the results obtained from the Laplace transform table

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