Question

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

• A. 2, 2
• B. 2, 1
• C. 1, 2
• D. 2, 3
• E. 1, 3

Answer 1

Answer: (A)

The given differential equation Is $\frac{d^{2}y}{d{x}^2}={\left[1+{\left(\frac{dy}{dx}\right)}^2\right]}^{3/2}$ $\Rightarrow$ $\left(\frac{d^{2}y}{d{x}^2}\right)={\left(1+{\left(\frac{dy}{dx}\right)}^2\right)}^3$ $\therefore$ Degree and order of equation are 2 and 2 respectively.