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solve for m,n \[n\left(3x^3y^3+6x^2y^2\right)-m( {x^5y}+{3x^2y^3})=2x^2+2x^3y-3y^3\]
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mx^3 2my 2x 2 y n = ---- + ---- + ----- + ----- 9y 3 9y 9y^2 3x^2 \[m = 9nx^2y^2 - 2x^3y + 3y^3 - 2x^2 / x^2y(x^3 + 6y^2)\]
I think you might be interested in here http://math.stackexchange.com/questions/37641/finding-integrating-factor-when-if-will-be-a-function-of-x-and-y
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