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The equation of family of a curve is y^(...

The equation of family of a curve is `y^(2)=4a(x+a),` then differential equation of the family is

A

`y(1+y_(1)^(2))=2xy_(1)`

B

`y_(2)+2y_(1)=0`

C

`y(1=y_(1)^(2))=2xy_(1)`

D

`y_(1)^(3)+3y_(1)+y=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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