Answer to Question #316867 in Differential Equations for Sara

Question #316867

2ydx+x(x^2lny-1)dy=0

Expert's answer

"\\frac{2y}{x^3}dx+\\left( \\ln y-\\frac{1}{x^2} \\right) dy=0\\\\d\\left( -\\frac{y}{x^2} \\right) +\\ln ydy=0\\\\d\\left( -\\frac{y}{x^2}+y\\ln y-y \\right) =0\\\\-\\frac{y}{x^2}+y\\ln y-y=Const"

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