I need help with ideas on solving this integral that's a part of originally my differential equation.
$r' = \pm \sqrt {2ln |(n+kr^l)| + C}$, where C, n, k and l are constants
$\frac {dr(z)}{dz} = \pm \sqrt {2ln |(n+kr^l)| + C}$, where r(z) = r
$\int {dz} = \pm \int {\frac{1}{\sqrt {2ln |(n+kr^l)| + C}} dr}$
$z+c = \pm \int {\frac{1}{\sqrt {2ln |(n+kr^l)| + C}} dr}$
And the RHS is where I'm stuck. I tried substituting and that couldn't work. I'm out of ideas that I can try that would be applicable to this.