Solving the Equation (y^2)+(y')^2=1: Ideas and Guidance

[quietriot1006]

Homework Statement

Find a function of y whose square plus the square of its derivative is 1.
i.e. (y^2)+(y')^2=1 and carry out your ideas.

Homework Equations

The Attempt at a Solution

Can anyone just help me out with this one. Kinda confused by the questioning. Just point me in the right direction.

 

[Dr. Lady]

Think trig identities...

 

[quietriot1006]

I still don't see it. How does the derivative factor into it?

 

[Dick]

Dr. Lady is suggesting you simply guess the answer.
Otherwise you have y'=+/-sqrt(1-y^2). You can try to integrate that.