Task 4 a. For a voltage step input of size V at t = 0 into a series CR circuit the differential equation for the potential difference across the capacitor v, is given by V = RC dvc+Vc dt Vc is zero at t = 0. Use Laplace transforms to solve this equation. b. Use Laplace transforms to solve this equation 3f (t) + 2f(t)t where f(0) = -2

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