Question

The degree of the differential equation `dy/dx - x = (y - x dy/dx)^-4` is ______.

Options

• 2

• 3

• 4

• 5

Answer 1

The degree of the differential equation `dy/dx - x = (y - x dy/dx)^-4` is 5.

Explanation:

∵ `(dy)/(dx) - x = (y - x dy/dx)^-4`

`\implies (dy/dx - x)(y - x. dy/dx)^4` = 1

∴ Order of the above differential equation = 1 and degree = 5