How can we solve a differential equation of the form $$a(r)Y' = Y - Y^2$$ for ##Y \equiv \phi(r)##? An equation of this form appears in https://en.wikipedia.org/wiki/Deriv...field_equations_to_find_A.28r.29_and_B.28r.29. If there were not the ##Y^2##, that would be a easy to solve differential equation: just a first order linear differential equation. The problem is the ##Y^2## though.(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# I How do you solve this equation?

Have something to add?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**