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Math Help - General Solution

  1. #1
    Junior Member
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    General Solution

    Can someone tell me which method you would use to find the general solution of:

    dy/dx + (3x^2)y = 2x*exp(-x^3)

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  2. #2
    MHF Contributor chisigma's Avatar
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    The DE is of the type...

    y^{'} = a(x)\cdot y + b(x) (1)

    ... and its general solution is...

    y = e^{\int a(x)\cdot dx}\cdot \{\int b(x)\cdot e^{-\int a(x)\cdot dx} dx + c\} (2)

    Kind regards

    \chi \sigma
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