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Question

The solution of the differential equation x2dy=2xydx is

A
xy2=c
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B
x2y2=c
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C
x2y=c
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D
xy=c
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Solution

The correct option is D xy2=c
x2dy=2xydx
xdy=2ydx
xdy+2ydx=0
d(xy2)=0
xy2=C

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