MCQ
The differential equation of all parabolas whose axes are parallel to $y-$axis is:
  • $\frac{\text{dy}}{\text{dx}}=-\frac{\text{c}^2}{\text{x}^2}$
  • B
    $\frac{\text{d}^2\text{x}}{\text{dy}^2}=\text{c}$
  • C
    $\frac{\text{d}^3\text{y}}{\text{dx}^3}+\frac{\text{d}^2\text{x}}{\text{dy}^2}=0$
  • D
    $\frac{\text{d}^2\text{y}}{\text{dx}^2}+2\frac{\text{dy}}{\text{dx}}=0$

Answer

Correct option: A.
$\frac{\text{dy}}{\text{dx}}=-\frac{\text{c}^2}{\text{x}^2}$

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