Question: Consider the initial value problem y ' + 5 y = { 0 i f 0 t 2 9 i f 2 t 5 0

Consider the initial value problem
y'+5y={0if0t29if2t50if5t,y(0)=5.
a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote
the Laplace transform ofy(t)byY(s).Do not move any terms from one side of the equation to the other (until you get to part (b)
below).
Consider the initial value problem y ' + 5 y = {

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