Chapter 4.1, Problem 24E

Verify the following general solutions and find the particular solution.

24. Find the particular solution to the differential equation $8\frac{dx}{dt}$ = -2cos(2t) - cos(4t) that passes through ( $\pi$ , $\pi$ ), given that x = C $-\frac{1}{8}$ sin(2t) $-\frac{1}{32}$ sin(4t) is a general solution.