Question: 2. Let x + 4x = 5 cos St. (a) (7 points) Use the method of Laplace transforms to nd the solution satisfying the initial

2. Let x\" + 4x = 5 cos St. (a) (7 points) Use the method of Laplace transforms to nd the solution satisfying the initial conditions x (0) = l, x'(0) : 1. (b) (3 points) Is the solution periodic? If so, what is the period? Justify your answers. (No explanation, no credit.)

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