Question

The order and degree of the differential equation $y=x\frac{dy}{dx}+\frac{2}{\frac{dy}{dx}}$ is

• A. 1, 3
• B. 1, 1
• C. 1, 2
• D. 2, 1

Answer 1

Answer: (C)

Given differential equation is
$y=x\frac{dy}{dx}+\frac{2}{dy/dx}$
$\Rightarrow y\frac{dy}{dx}=x{\left(\frac{dy}{dx}\right)}^2+2$
Here, order $=1$ and degree $=2$