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Question

Solution of y2x+y−xdydx=0 is

A
y25+y24x2=c
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B
x22+xy=C
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C
y24+y55x4=c
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D
x25+x44y4=c
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Solution

The correct option is B x22+xy=C
We have,
y2x+y=xdydxxy2dydx=1y+x1y2dydx=1xy+11y2dydx1xy=1

Let 1y=z
dzdz=1y2dydxdzdz+zx=1zedxx=edxx×1dxzx=x22+Cxy=x22+Cx22+xy=C

Hence, option B is the correct answer.

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