Mike706

1. The problem statement, all variables and given/known data

See attached picture of the problem.

2. Relevant equations

See attached picture of the pair of diff equations.

3. The attempt at a solution

I was able to solve the problem up to the point the picture gets to. However, the author says he obtained this by integrating. I couldn't figure out how to do this by direct integration, so I modified the pair of equations into two 2nd order ODE's, each of one function, and solved them.

Is there a way to directly integrate these equations? I have a feeling I'm going to feel dumb when I hear the answer. Please let me know if you need any more info.

Thanks for your help,
Mike

Attached Thumbnails