Find the order and degree (if defined) of the equation: `a=(1[1+((dy)/(dx))^2]^(3/2))/((d^2y)/(dx^2)),` where `a` is constant

Answer

Order-2, degree-2

Explanation

The given equation when exposed as a polynomial in derivative as
`a^(2)(d^(2)y)/(dx^(2))^(2)=[1+((dy)/(dx))^(2)]^(3)`
Clearly, it is second-order differential equation of degree 2.