The solution of the differential equation (1+e^ x y ) d x+e^ x y (1- x y ) d y=0 is :

Mathematics · JEE Main · NTA Exams — Differential Equations

1. \(x-y e^{\frac{x}{y}}=c\)
2. \(x e^{\frac{x}{y}}-y=0\)
3. \(x+y e^{\frac{x}{y}}=c\)
4. \(x e^{\frac{x}{y}}+y=0\)

Answer

(C) x+y e^ x y =c

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