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The differential equation of the family of curves \( y^{2}=4 a(x+a) \) is :
P
(A) \( y^{2}=4 \frac{d y}{d x}\left(x+\frac{d y}{d x}\right) \)
(B) \( 2 y \frac{d y}{d x}=4 a \)
W.
(C) \( y \frac{d^{2} y}{d x^{2}}+\left(\frac{d y}{d x}\right)^{2}=0 \)
(D) \( 2 x \frac{d y}{d x}+y\left(\frac{d y}{d x}\right)^{2}-y \)
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