problem in solving a first order for some physics application

Hello everyone.

I wish to get the solution to the following:

x'(t) = [A*exp(B*t)-C]^(m)

I can get the plotted solution by Matlab, but I wish to find the analytic solution by myself.

Does anyone has some hints to help me in this?

Thanks a lot for your help

/Crevoise

Re: problem in solving a first order for some physics application

Quote:

Originally Posted by

**crevoise** Hello everyone.

I wish to get the solution to the following:

x'(t) = [A*exp(B*t)-C]^(m)

I can get the plotted solution by Matlab, but I wish to find the analytic solution by myself.

Does anyone has some hints to help me in this?

Thanks a lot for your help

/Crevoise

integral[(A*Exp[B*x] - C)^m] - Wolfram|Alpha

If you don't know anything about the Hypergeometric function, then there's not much more you can do...

Re: problem in solving a first order for some physics application