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Question

If x2+y2=1 then (where y=dydx,y′′=d2ydx2)

A
yy′′2y2+1=0
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B
yy′′+y2+1=0
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C
yy′′y21=0
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D
yy′′+2y2+1=0
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Solution

The correct option is B yy′′+y2+1=0
Given, x2+y2=1
Differentiating w.r.t x,
2x+2yy=0
x+yy=0
Again differentiating w.r.t. x, we get
1+yy′′+yy=0
1+yy′′+y2=0

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