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Math Help - How can I solve this differential equation?

  1. #1
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    How can I solve this differential equation?

    The differential equation is:

    y'xlnx + y(lnx + 1) = 1

    for x > 1


    How can I simplify this?
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  2. #2
    Junior Member
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    Solved it; the left side can be rewritten as [yxlnx]'
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  3. #3
    MHF Contributor chisigma's Avatar
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    near Piacenza (Italy)
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    Setting \ln x = t the DE becomes...

    \displaystyle t\ \frac{dy}{dt} + (1+t)\ y = 1 (1)

    ... the solution of which is a 'standard job'...

    Kind regards

    \chi \sigma
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  4. #4
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    How can I solve this differential equation?-img.jpg
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