Question: Solve the following ODEs using Laplace transforms: a. (t) + y(t) + 3y(t) = 0; y(0) = 1, y(0) = 2 b. (t)- 2y(t)

Solve the following ODEs using Laplace transforms: a. (t) + y(t) + 3y(t) = 0; y(0) = 1, y(0) = 2 b. (t)- 2y(t) + 4y(t) = 0; y(0) = 1, g(0) = 2 c. y(t) + y(t) = sin t; y(0) = 1, (0) = 2 d. (t) + 3y(t) = sint; y(0) = 1, y(0) = 2

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