Question

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

• A. $3,2$
• B. $3,10$
• C. $2,3$
• D. $3,5$

Answer 1

The correct option is A $3,2$

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