Thread: Ordinary Differential Equation

I've been looking at this for a while, I don't really know where to start. The question is: what is the general solution to the following ordinary differential equation:

dy/dx = √(4x+2y-1)

Any help would be appreciated.

Originally Posted by Unoticed

I've been looking at this for a while, I don't really know where to start. The question is: what is the general solution to the following ordinary differential equation:

dy/dx = √(4x+2y-1)

Any help would be appreciated.

Let then .
Substitute to get,

That is Bernoulli Equation.

Thanks a lot mate

Hey, I've looked at some stuff on the Bernoulli Equation and I don't understand how to get from that to a general solution. Do I have to make another substitution?

Actually, the equation is separable.

really? how so? thats the first thing I tried but I couldnt get it