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Math Help - calculus problem

  1. #1
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    calculus problem

    Find f(x) if f is continuous for x>0 and (f(x))^2 = (integral of f(t) dt from 0 to x) + 9
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Susie38
    Find f(x) if f is continuous for x>0 and (f(x))^2 = (integral of f(t) dt from 0 to x) + 9
    The question is:

    Find f(x) if f is continuous for x>0,
    and:

    (f(x))^2=\int_0^x f(t) dt.

    If you differentiate this last equation you get:

    2f(x)\frac{df}{dx}=f(x),

    which is an ODE which you should be able to solve
    (though you may have to take extra care about points
    where f(x)=0).

    RonL
    Last edited by CaptainBlack; June 3rd 2006 at 08:35 AM.
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  3. #3
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    what is ode?
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by Susie38
    what is ode?
    Ordinary Differential Equation.

    RonL
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