Question

The order and degree of the differential equation $\sqrt{\frac{dy}{dx}}-4\frac{dy}{dx}-7x=0$ are

• A. $1$ and $1/2$
• B. $2$ and $1$
• C. $1$ and $1$
• D. $1$ and $2$

Answer 1

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

Given 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.