# Non linear diff. equation example

1. Jan 26, 2008

### bob j

Hi All,
does anyone know how to solve the following first-order non-linear differential equation,

a * y' + b * y^2 + c = 0

where a,b,c are scalar constant values.

Thanks!

2. Jan 26, 2008

### arildno

It is separable.
Rewrite it as:
$$\frac{ay'}{by^{2}+c}=-1$$

3. Jan 26, 2008

### bob j

could u show me how?

4. Jan 26, 2008

ok, thanks