Differential Equation second degree help

[kristo]

Homework Statement

$$\frac{dy}{dx}= y^2 + 1$$

Homework Equations

The Attempt at a Solution

I have no idea how to go about it. I've never solved a differential equation of second degree before.

 

[Char. Limit]

It may look scary, but it really isn't. Just divide both sides by (y²+1) then multiply both sides by dx. It's integrable from there.

 

[kristo]

Thanks a lot, I got it now. I keep forgetting the inverse trig derivatives.

 

[Char. Limit]

No problem at all.