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

Answer: (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 of first order and second degree differential equation.