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x(lny(x))'+lny(x)+y(x)(e^(xy(x)))'+y'(x)e^(xy(x))=0
x(1/y(x))y'(x)+lny(x)+y(x)(e^(xy(x)))(xy(x))'+y'(x)e^(xy(x))=0
x(1/y(x))y'(x)+lny(x)+y(x)(e^(xy(x)))(y(x)+xy'(x))+y'(x)e^(xy(x))=0
x(1/y(x))y'(x)+lny(x)+y(x)(e^(xy(x)))(xy(x))'+y'(x)e^(xy(x))=0
x(1/y(x))y'(x)+lny(x)+y(x)(e^(xy(x)))(y(x)+xy'(x))+y'(x)e^(xy(x))=0
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