Question

The order and degree of the differential equation `sqrt(dy/dx) - 4 dy/dx - 7x` = 0 are ______.

Options

• 1 and 1/2

• 2 and 1

• 1 and 1

• 1 and 2

Answer 1

The order and degree of the differential equation `sqrt(dy/dx) - 4 dy/dx - 7x` = 0 are 1 and 2.

Explanation:

Given equation is `sqrt(dy/dx) - 4 dy/dx - 7x` = 0

`\implies dy/dx = 16(dy/dx)^2 + 49x^2 + 56x dy/dx`

Obviously, it is of first order and second-degree differential equation.