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Math Help - Differential Equation one ordre

  1. #1
    Super Member dhiab's Avatar
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    Differential Equation one ordre

    Solve this equation :
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  2. #2
    MHF Contributor chisigma's Avatar
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    The 'standard solution' is...

    y(x)= e^{- \int \sin x\cdot dx} \{ \int \sin x \cdot e^{\int \sin x\cdot dx} + c\}= e^{\sin x + \cos x} + c\cdot e^{\cos x}

    Kind regards

    \chi \sigma
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by dhiab View Post
    Solve this equation :
    This is of variables seperable type:

    y'=\sin(x)(1-y)

    so:

    \frac{y'}{1-y}=\sin(x)

    CB
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