Question

The order and degree of the differential equation `d/(dx)(e^y)` = 0, respectively, are ______.

Options

• 0, 1

• 1, 1

• 2, 1

• 1, not defined

Answer 1

The order and degree of the differential equation `d/(dx)(e^y)` = 0, respectively, are 1, 1.

Explanation:

Given `d/(dx)(e^y)` = 0

Differentiating, `e^y(dy)/(dx) = 0`,

Highest derivative present is `(dy)/(dx),`

So the order is 1. Power of the derivative is 1, hence the degree is 1 after expressing the equation in polynomial form.