Section 4.5.3: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 26, 27, 29

Find the general solutions, using variation of parameters and the results we obtained in class.

Also:

Find the particular solution of $y'' + 4y' + 4y = t^{\frac{5}{2}}e^{-2t}$ satisfying $y(0) = 0$ and $y'(0) = 0$.

Answer: $y(t) = \frac{4}{63}t^{\frac{9}{2}}e^{-2t}$