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Question

What is the solution of the differential equation ydxxdyy2=0?
where c is an arbitrary constant.

A
xy=c
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B
y=cx
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C
x+y=c
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D
xy=c
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Solution

The correct option is A y=cx
ydxxdyy2=0ydx=xdy
dxx=dyy
Integrating both the sides, we get
dxx=dyy
ln(cx)=ln(y)y=cx
where c is an arbitrary constant.

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