Question

The order and degree of the differential equation: `d/(dx) (sin y) = y^2` respectively are ______.

Options

• 1, 1

• 2, 1

• 2, 2

• 1, 2

Answer 1

The order and degree of the differential equation: `d/(dx) (sin y) = y^2` respectively are 1, 1.

Explanation:

Given: `d/(dx) (sin y) = y^2`

Using the chain rule:

`cos * y (dy)/(dx) = y^2`

The highest derivative is first order, and its power is 1. Hence, order = 1 and degree = 1.