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solve dy/dx=(xy+y^2)/(xy-x^2)
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hmm.. \[x(y-x)dy - y(x+y)dx = 0\] are you allowed to use ANY method?
yes but not complex
i think this is exact?
is it?
am not sure i also want to learn
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this is homogeneous equation. Divide top and bottom of the right side by x^2 and after make variable change y/x = u. dy=udx,
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