The differential equation of the family of curves,

Question:

The differential equation of the family of curves, $x^{2}=4 b(y+b), b \in R$, is

  1. $x\left(y^{\prime}\right)^{2}=x+2 y y^{\prime}$

  2. $x\left(y^{\prime}\right)^{2}=2 y y^{\prime}-x$

  3. $x y^{\prime \prime}=y^{\prime}$

  4. $x\left(y^{\prime}\right)^{2}=x-2 y y^{\prime}$


Correct Option: 1

Solution:

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