Consider the initial value problem y' 4y (b) Solve your equation for Y 0 12 0 if 0 t 3 if 3 t 5 if 5 t 0, (a) Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation Denote the Laplace transform of y by Y Do not move any terms from one side of the equation to the other (until you get to part (b) below) y Y L y (c) Take the inverse Laplace transform of both sides of the previous equation to solve for y y(0) 2

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Consider the initial value problem y' + 4y = (b) Solve your equation for Y. 0 12 0 if 0 < t <3 if

Consider the initial value problem y' + 4y = (b) Solve your equation for Y. 0 12 0 if 0 < t

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