(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

y' + Ay^{2}= B

A & B are constants and y is a function of x

Find the general solution to the differential equation. (Find y(x)).

2. Relevant equations

3. The attempt at a solution

This differential equation came up when I was trying to solve a problem in physics. I have just learned to solve basic linear differential equations from high school and don't know how to start solving this or even if it's solvable without a computer. If somebody could give me a push in the right direction or tell me what I could study to be able to solve it, it would have been very nice :)

The only thing I've tried is differentiating it with respect to x, and getting this:

y'' + 2Ayy' = 0

I don't find this any easier because I have the y×y' there. So, any help would be nice ;)

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# Homework Help: First order nonlinear ordinary differential equation

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