(a) Solve the initial-value problem (d 2y/ dt2) - 3(&/ dt) + 2y = f (t); y (0) - 1

Chapter 2, Problem 3

(choose chapter or problem)

(a) Solve the initial-value problem (d 2y/ dt2) - 3(&/ dt) + 2y = f (t); y (0) - 1, y'(0) = 0, where f (t) is an impulsive function which acts on the extremely short time interval 2 < t < 2 + 7, and jz2+'f(t)dt - - 1. (b) Solve the initial-value problem (dzy / dt2) - 3(4/dt) + 2y -0; y (0) = 1, y'(0) PO, on the interval 0 < t < 2. Compute zo=y(2) and zLmy'(2). Then solve the initial-value problem Compare this solution with the solution of part (a).

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