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# Help solving this differential equation watch

1. Hey there i'm looking for a solution to the following non-linear first order ODE.

where A, B and C are constants.

Any ideas on how to solve this or if it's even got an analytical solution?
2. (Original post by langlitz)
Hey there i'm looking for a solution to the following non-linear first order ODE.

where A, B and C are constants.

Any ideas on how to solve this or if it's even got an analytical solution?
As to whether this has an analytic form, I fed an example of an equation of this form to Mathematica, and it went away and thought for a while and returned with a simple re-write of the original equation. So, possibly not...
3. (Original post by Gregorius)
As to whether this has an analytic form, I fed an example of an equation of this form to Mathematica, and it went away and thought for a while and returned with a simple re-write of the original equation. So, possibly not...
It would be interesting to see whether other similar tools (eg. Maple/Matlab etc.), would have any more luck. (if anyone here has them)
4. (Original post by langlitz)
Hey there i'm looking for a solution to the following non-linear first order ODE.

where A, B and C are constants.

Any ideas on how to solve this or if it's even got an analytical solution?
Isn't this equivalent to ? The integral doesn't look at all hopeful for a solution in terms of elementary functions.
5. (Original post by atsruser)
Isn't this equivalent to ? The integral doesn't look at all hopeful for a solution in terms of elementary functions.
Yup, that is what Mathematica returns...
6. (Original post by Gregorius)
Yup, that is what Mathematica returns...
Yeah, I was just trying to point out to the OP that it's fairly easy to see if it's likely to have a nice solution as it's separable.
7. (Original post by atsruser)
Isn't this equivalent to ? The integral doesn't look at all hopeful for a solution in terms of elementary functions.
Yep I was just wondering if there were any fancy methods for solving these kinds of equations which I don't know, wolfram alpha is not always foolproof for differential equations

I will try a numerical method
8. (Original post by langlitz)
I will try a numerical method
I suspect that's the only real possibility here, if you need a solution.

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