The equation which represents the system of parabolas whose axis is parallel to $Y$-axis satisfies the differential equation.
- A
$\frac{d^3 y}{d x^3}=0$
- B
$\frac{d^3 y}{d x^3}+\frac{d^2 y}{d x^2}=x+y$
- C
$\frac{d^2 y}{d x^2}+x y=4 a x$
- D
$\frac{d y}{d x}+x y=x^2$
✓ Correct answer: A
Want the full step-by-step reasoning?