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Answer both parts a) Use Laplace transform to solve the integer-differntial equation y(t)=t^3 + 4y(v) dv (from top is t and bottom is 0) b)

Answer both parts

a) Use Laplace transform to solve the integer-differntial equation

y(t)=t^3 + 4y(v) dv

(from top is t and bottom is 0)

b) Find the Laplace transform of the given function

f(t)=

{e^t, 0 < t 2

3, t > 2

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