The differential equation for which $y^2=4 a(x+a)$ (a is the parameter) is the general solution is

• Correct answer
  A

  $y=2 x \frac{d y}{d x}+y\left(\frac{d y}{d x}\right)^2$
• B

  $y=y \frac{d y}{d x}-x\left(\frac{d y}{d x}\right)^2$
• C

  $x=3 \frac{d y}{d x}+y\left(\frac{d y}{d x}\right)^2$
• D

  $y=3 x^2 \frac{d y}{d x}+y^2\left(\frac{d y}{d x}\right)^2$

Hence, the correct answer is option: 'A'.