Question

The degree of the differential equation${\left[1+{\left(\frac{dy}{dx}\right)}^2\right]}^{3/2}=l\frac{d^{2}y}{d{x}^2}$ is

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer: (B)

${\left(1+{\left(\frac{dy}{dx}\right)}^2\right)}^{3/2}=\frac{d^{2}y}{d{x}^2}$
$\Rightarrow {\left(1+{\left(\frac{dy}{dx}\right)}^2\right)}^3={\left(\frac{d^{2}y}{d{x}^2}\right)}^2$
Its degree is $2$.