Differential Equations Homework #2 Show all work!!

1.Verify that the family     is a solution to the DE .

2. Use the fact that     is a family of solutions to      to find a solution to the initial

value problem for this DE with y(5) = 3.

3. Use the fact that     is a family of solutions to      to find a solution to the initial value problem for this DE with x(0) = 5 and .

4. Verify that the initial value problem     has solution