Question

The degree of the differential equation
$\left(\frac{d^{2}\,y}{dx^{2}}\right)^{2/3}+4-\frac{3dy}{dx}=0$ is

• A. $2$
• B. $1$
• C. $3$
• D. none of these

Answer 1

Answer: (A)

$\left(\frac{d^{2}\,y}{dx^{2}}\right)^{2/3}=3 \frac{dy}{dx}-4$
$\Rightarrow \left(\frac{d^{2}\,y}{dx^2}\right)^{2}=\left(3 \frac{dy}{dx}-4\right)^{3}$
$\therefore $ Degree is $2$.