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Homework Help: FUnction of a square

  1. Dec 12, 2008 #1
    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.
  2. jcsd
  3. Dec 12, 2008 #2
    Think trig identities...
  4. Dec 12, 2008 #3
    I still dont see it. How does the derivative factor into it?
  5. Dec 12, 2008 #4


    User Avatar
    Science Advisor
    Homework Helper

    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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