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B
yy′′+y′2+1=0
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C
yy′′−y′2−1=0
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D
yy′′+2y′2+1=0
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Solution
The correct option is Byy′′+y′2+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′′+y′y′=0 1+yy′′+y′2=0