Question

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

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

Answer 1

Answer: (A)

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