Question

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 $2$

Answer 1

The correct option is D $1$ and $2$

Given, $\sqrt{\frac{dy}{dx}}-4\frac{dy}{dx}-7x=0$
On squaring , we get
$\frac{dy}{dx}=16{\left(\frac{dy}{dx}\right)}^2+49x^2+56x\frac{dy}{dx}$
Here, order is $1$ and degree is $2$.