Express the general solution.
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1 Answer

Given : x(x-1)dy/dx + y = x(x-1)^2

x(x-1)dy+ ydx = x(x-1)^2dx
y=(x-1)x(-y'(x)+x-1)

Integrate on both side and simplify, we get
y(x)=c1x/(1-x)+x^3/(2(x-1))-2x^2/(x-1)+xlog(x)/(x-1)


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