Question: Please help with the following question (multiple part) (10 points) Consider the integral equation t y(t) +4]0 e4vy(t v)dv = 3. Let Y(s) denote the

Please help with the following question (multiple part)

(10 points) Consider the integral equation t y(t) +4]0 e4vy(t v)dv = 3. Let Y(s) denote the Laplace transform of y. (a) Apply the Laplace transform [1 to the integral equation and write down the resulting equation about Y(s). (b) Solve for Y(s). (c) Take the inverse Laplace transform [31 and obtain the solution y(t) for the initial value

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