Ideas for 1st order Non-Linear DE

[awetawef]

I don't know very much about DEQs, can someone point me in the right direction for solving this?

Note: $\phi$ is a function of another variable and C_1, C_2 are constants.

$$-\phi ^2 \cdot C_1=\frac{1}{1+\phi ' ^2}+C_2$$

I have tried trig sub, but I didn't get anywhere.

Regards.

EDIT: The LaTeX on this website doesn't appear to like me, though I don't understand why.

 

[berkeman]

Thread moved to Homework Help forums. Welcome to the PF, awetawef. Unfortunately, the LaTex generator is down at the moment, due to a server upgrade over the weekend. You might want to re-state the problem using clear text, if possible. Please also try to show us an attempt at how you would solve it. We need to see your work before we can offer tuturial help.