Hello, fractal5!

Hi, I have a differential equation that I'm trying to solve my substitution.

I've got most of it, but I can't figure out how to end it properly.

The equation: .

I divide by

Let

Substitute: .

Let

Substitute: .

Integrating: .

Back-substitute: .

Back-substitute: .

How do I proceed after this? . You could stop here.

Is there any way to get the solution in terms of ? . Yes, if you dare.

We have: .

. . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . .

.n. . . . . .

n . . . . . . . . . . . . .

n . . . . . . . . . . . . . .

n . . . . . . . . . . . . . .

This time we were lucky (if you can call it that) . . . wesolve forcouldy.

But 99% of the solutions cannotbe solved fory.

. . And we are not expected to.