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Math Help - *sigh*... a DFQ problem.

  1. #1
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    *sigh*... a DFQ problem.

    Too many of these :0\.
    I need to prove that the solution y(x) of this given problem:
    y' = [(y-1)sin(xy)/(x^2+y^2+1)], y(0) = 1/2,
    satisfies: 0<y(x)<1.

    Trying, but just don't get it.

    Thanks...
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by aurora View Post
    Too many of these :0\.
    I need to prove that the solution y(x) of this given problem:
    y' = [(y-1)sin(xy)/(x^2+y^2+1)], y(0) = 1/2,
    satisfies: 0<y(x)<1.

    Trying, but just don't get it.

    Thanks...
    Hint:
    y' = 0 when y = 0
    y' = 0 when y = 1

    -Dan
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  3. #3
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    Thanks.
    That does ring a bell but I guess I'm too tired to think it through tonight.

    I'll update you. Thanks!!!
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  4. #4
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    Can I have futher help? I can't seem to make progress with what you told me.
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