FUnction of a square

quietriot1006

1. The problem statement, all variables and given/known data

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.

2. Relevant equations

3. 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 dont 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.

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quietriot1006	FUnction of a square Tweet 1. The problem statement, all variables and given/known data 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. 2. Relevant equations 3. 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.

Dick Recognitions: Homework Help Science Advisor	FUnction of a square Dr. Lady is suggesting you simply guess the answer. Otherwise you have y'=+/-sqrt(1-y^2). You can try to integrate that.