Q1. In the following check to see if the set S is a vector subspace of the corresponding R^{n}. If it is not explain why not. If it is, then find a basis and the dimension.

Q2. Use Laplace transforms to solve each problem.

(a) dy/dt + y = f(t), y(0) = 0, where

(b) d^{2}x/dt^{2} - x = 4t, x(0) = 3, x'(0) = 1

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