Really. Is that all that needs to be done? I did that and got the original equation to look like the second one. So then that makes it a solution for the first equation right? Hmm, I guess that was easy. Thanks!
I was looking for some guidance on how to attack this problem.
Consider the nonlinear ODE:
y'(x)+y^{}2(x)+Ay(x)+B=0
(y prime + y squared with A and B constant coefficients)
Show that the solution is given by y=z'/z, where z(x) solves the second order ODE:
z''+Az'+Bz=0...