Question: (1 point)Inan integro-differential equation, the unknown dependent variable y appears within an integral, and its derivative dydt also appears.Consider the following initial value problem, defined

(1 point)Inan integro-differential equation, the unknown dependent variable y appears within an integral, and its derivative dydt also appears.Consider the following initial value problem, defined for t0 :dydt+40ty(t-w)e-4wdw=4,y(0)=0a. Use convolution and Laplace transforms to find the Laplace transform of the solution.Y(s)=L{y(t)}=b. Obtain the solution y(t).y(t)=

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