Solve the differential equation and mention the name of type of this D.E
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$\displaystyle xy' + y = y^2 \ln x \iff \frac{{y'}} {{y^2 }} + \frac{1} {{xy}} = \frac{{\ln x}} {x}$ This is a Bernoulli's differential equation, do you know what's next?
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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