
nonlinear ODE
I must explicitly solve the following ODE
$\displaystyle rf''(r)+f'(r)+f'(r)^3=0$.
I used partial fractions to obtain the equation
$\displaystyle \ln f'(r)+\frac{1}{f'(r)}\ln(f'(r)+1)=\ln r+k$
for some constant $\displaystyle k$. However, I'm not sure this helps. Any hints or direction would be much appreciated. Thanks!

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Re: nonlinear ODE
I am not sure that your equation is correct :

Re: nonlinear ODE
You're right... I made an algebra mistake when taking partial fractions. Thanks for the catch!