# Thread: General Solution of first order equation.

1. ## General Solution of first order equation.

Let $a, b$ be continuous on $R$. Find the general solution of the equation

$\frac{dy}{dx} = a(x)y + b(x)y^2$

by solving the equation satisfied by $u(x) = \frac{1}{y(x)}$

If someone could just give me a clue to point me in the right direction, it would be great.
Thanks

2. Bernoulli differential equation - Wikipedia, the free encyclopedia This will help. There's also a bit about Bernoulli equations in the sticky thread at the top of this forum.