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Math Help - Please Solve differential equation

  1. #1
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    Please Solve differential equation

    Solve the differential equation and mention the name of type of this D.E
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  2. #2
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    Krizalid's Avatar
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    xy' + y = y^2 \ln x \iff \frac{{y'}}<br />
{{y^2 }} + \frac{1}<br />
{{xy}} = \frac{{\ln x}}<br />
{x}

    This is a Bernoulli's differential equation, do you know what's next?
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  3. #3
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    after you did that, use the substitution z = 1/y which will reduce it to a linear equation then you can use the integrating factor thing to solve it.
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