# Math Help - Differential equation

1. ## Differential equation

Find the solution

2. Because y itself does not appear in that equation, let z= dy/dx so the equation becomes $\frac{dz}{dx}- z^2+ 4= 0$. That's a very simple separable first order equation for z. Since z= dy/dx, integrate to find y.

3. I hope to complete the solution and you thanks

4. $\frac{dz}{dx} = z^2 - 4 = (z-2)(z+2) \Rightarrow \frac{dz}{(z-2)(z+2)} = dx$...

5. You the most beautiful tribute

6. Originally Posted by dapore

Find the solution
You can conver this to a first order problem using substitution $u = \frac{dy}{dx}$.