Q. The order and degree of the differential equation $\sqrt{\frac{dy}{dx}} - 4\frac{dy}{dx} - 7x = 0$ are
A) $1$ and $\frac{1}{2}$
B) $2\ and\ 1$
C) $1\ and\ 1$
D) $1\ and\ 2$
Explanation
(d)
Given equation is $\sqrt{\frac{dy}{dx}} - 4\frac{dy}{dx} - 7x = 0$
$\Rightarrow$ $\frac{dy}{dx} = 16\left( \frac{dy}{dx} \right)^{2} + 49x^{2} + 56x\frac{dy}{dx}$
Obviously, it is first order and second degree differential equation.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.