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Questions  >>  CBSE XII  >>  Math  >>  Differential Equations
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The differential equation of the family of curves $y^2=4a(x+a)$ is

:\[(A)\;y^2=4\frac{dy}{dx}\bigg(x+\frac{dy}{dx}\bigg) \quad (B)\;2y\frac{dy}{dx}+4a \quad(C)y\frac{d^2y}{dx^2}\;\bigg(\frac{dy}{dx}\bigg)^2=0 \quad (D)\;2x\frac{dy}{dx}+y\bigg(\frac{dy}{dx}\bigg)^2-y\]

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