In an integro-differential equation, the unknown dependent variable y appears within an integral, and its derivative dy/dt also appears. Consider the following initial value problem, defined for t > 0: dy dt [ y(t-w) e 0 a. 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) = +4 4w dw = 6, y(0) = 0.