Question: Suppose y(t) is the solution to the initial value problem. y'' + 3y' + 2y = e^-t , y(0) = 0 , y'(0). Find the

Suppose y(t) is the solution to the initial value problem.

y'' + 3y' + 2y = e^-t , y(0) = 0 , y'(0).

  1. Find the Laplace transformation Y(s) = L(y(t)) of the solution.
  2. Find the solution y(t) by applying the inverse Laplace transform.

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