The differential equation corresponding to the family of parabolas whose axis is along $\mathrm{x}=1$ is

• Correct answer
  A

  $(x-1) \frac{d^2 y}{d x^2}-\frac{d y}{d x}=0$
• B

  $\frac{d^2 y}{d x^2}+(x-1) \frac{d y}{d x}-y=0$
• C

  $\frac{\mathrm{d}^2 \mathrm{y}}{\mathrm{dx}^2}+(\mathrm{x}-1) \frac{\mathrm{dy}}{\mathrm{dx}}-\mathrm{y}=0$
• D

  $(x-1) \frac{d^2 y}{d x^2}+\frac{d y}{d x}=0$

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