Consider the following integral equation, so called because the unknown dependent variable, y, appears within an integral: sin(5(t – w)) y(w) dw 2t?. This equation is defined for t > 0. a. Use convolution and Laplace transforms to find the Laplace transform of the solution. Y(s) = L{y(t)} = ((s^2)+25)/(s^3) b. Obtain the solution y(t). y(t) = %3D

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