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Question

Mathematics Question on Differential equations

The general solution of the differential equation (x2y2+y)dx(x2x3y)dy=0(x^2y^2+y)dx-(x-2x^3y)dy=0 is

A

x2y2yx=Cx^2y^2-\frac{y}{x}=C

B

x3y+xy=Cx^3y+\frac{x}{y}=C

C

xy2+yx=Cxy^2+\frac{y}{x}=C

D

xy2yx=Cxy^2-\frac{y}{x}=C

E

x2y+yx=Cx^2y+\frac{y}{x}=C

Answer

xy2yx=Cxy^2-\frac{y}{x}=C

Explanation

Solution

The correct option is (D) : xy2yx=Cxy^2-\frac{y}{x}=C