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Math Help - I have a tough d.e.

  1. #1
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    I have a tough d.e.

    My professor and I are working on a d.e., and I was wondering if anyone here could solve it:
    dx/dt=(1-x)[x-f(t)] where f is some function of only t. Maple gives us a solution, but we want to be able to solve it for ourselves.
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  2. #2
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    Quote Originally Posted by you View Post
    My professor and I are working on a d.e., and I was wondering if anyone here could solve it:
    dx/dt=(1-x)[x-f(t)] where f is some function of only t. Maple gives us a solution, but we want to be able to solve it for ourselves.
    it's a Riccati d.e. put x=1+\frac{1}{y} to get \frac{dy}{dt}+(f(t)-1)y=1, which is a simple linear d.e.

    Q.E.D.
    Last edited by NonCommAlg; May 27th 2008 at 01:50 PM. Reason: spelling mistake: it's Riccati not Ricatti! :)
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  3. #3
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    Quote Originally Posted by NonCommAlg View Post
    it's a Riccati d.e. put x=1+\frac{1}{y} to get \frac{dy}{dt}+(f(t)-1)y=1, which is a simple linear d.e.

    Q.E.D.
    Thanks, that helped a lot
    Last edited by you; May 28th 2008 at 11:17 AM.
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