Q. The differential equation $\frac{d^{2}y}{dx^{2}} = 2$ represents
A) A parabola whose axis is parallel to $x$-axis
B) A parabola whose axis is parallel to $y$-axis
C) A circle
D) None of the above
Explanation
(b)
Given differential equation is
$\frac{d^{2}y}{dx^{2}} = 2\ \ \Rightarrow \ \frac{dy}{dx} = 2x + a$
$\Rightarrow y = x^{2} + ax + b$
$\therefore$ It represents a parabola whose axis is parallel to $y$-axis.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.