Question: 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

In an integro-differential equation, the unknown dependent variable y appears within an

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 -25 y(t-w)e-10 dw = 6, dt y(0) = 0. a. Use convolution and Laplace transforms to find the Laplace transform of the solution. Y(s) = C {y(t)} = b. Obtain the solution y(t). y(t) =

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