Question

The degree of the differential equation
${[1+{\left(\frac{dy}{dx}\right)}^2]}^{5/3}=\frac{d^{2}y}{{dx}^2}$

• A. $1$
• B. $5$
• C. $\frac{10}{3}$
• D. $3$

Answer 1

The correct option is D $3$

The given differential equation is
${[1+{\left(\frac{dy}{dx}\right)}^2]}^{5/3}=\frac{d^{2}y}{{dx}^2}$
$\Rightarrow {\left(\frac{d^{2}y}{{dx}^2}\right)}^3={[1+{\left(\frac{dy}{dx}\right)}^2]}^5$
From above it is clear that the degree of the given differential equation is 3.