Q1. In the following check to see if the set S is a vector subspace of the corresponding Rn. If it is not explain why not. If it is, then find a basis and the dimension.
![1098_Figure.png](https://secure.tutorsglobe.com/CMSImages/1098_Figure.png)
Q2. Use Laplace transforms to solve each problem.
(a) dy/dt + y = f(t), y(0) = 0, where ![107_figure1.png](https://secure.tutorsglobe.com/CMSImages/107_figure1.png)
(b) d2x/dt2 - x = 4t, x(0) = 3, x'(0) = 1