Solve the initial-value problem y y = f (t), y(0) = 1, where f (t) = 2, 0 t < 1, 1, t 1

Chapter 10, Problem 46

(choose chapter or problem)

Solve the initial-value problem y y = f (t), y(0) = 1, where f (t) = 2, 0 t < 1, 1, t 1, in the following two ways: (a) Directly using the Laplace transform. (b) Using the technique for solving first-order linear equations developed in Section 1.6.

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