Question

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

• A. $3$ and $2$
• B. $2$ and $2$
• C. $2$ and $3$
• D. $1$ and $3$

Answer 1

The correct option is B $2$ and $2$

Order of a differential equation is the order of the highest derivative present in it and degree is the highest power of the highest order derivative.

Thus, in the given equation, order = 2 and degree = 2. $\left({\left[\frac{d^{2}y}{d{x}^2}\right]}^2\right)$