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

2, 2 2, 3 2, 1 none of these

2, 2

The given equation when expressed as a polynomial in derivatives is $\rho^2\left(\frac{d^2 y}{d x^2}\right)^2=\left\{1+\left(\frac{d y}{d x}\right)^2\right\}^3$ Clearly, it is a second order differential equation of degree 2.