Here is the equation

Any ideas?

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- Jul 23rd 2010, 08:03 AMfobos3Nonlinear ODE
Here is the equation

Any ideas? - Jul 23rd 2010, 08:15 AMAckbeet
Two thoughts:

1. Any affine function y = mx + b solves the equation trivially.

2. You could try this:

, implies

You can integrate then, to obtain

You can go from there further, I think. - Jul 23rd 2010, 09:34 AMJester
There's also a constant of integration to think about.

- Jul 23rd 2010, 09:49 AMAckbeet
Indeed. As always. So you've really got

so far. - Jul 23rd 2010, 10:01 AMJester
Might be a little easier to write ( )

as

so then look at cases when

(i) ,

(ii)

(iii)