Question

The order and degree of differential function `[1 + (dy/dx)^2]^5 = (d^2y)/(dx^2)` are ______.

Options

• order 1, degree 1

• order 1, degree 2

• order 2, degree 1

• order 2, degree 2

Answer 1

The order and degree of differential function `[1 + (dy/dx)^2]^5 = (d^2y)/(dx^2)` are order 2, degree 1.

Explanation:

`[1 + (dy/dx)^2]^5 = (d^2y)/(dx^2)`

Here, the highest derivative is `(d^2y)/(dx^2)`

So, the order = 2 and degree = 1