Question

If p and q are respectively the order and degree of the differential equation `d/dx((dy)/(dx))^3 = 0`, then (p − q) is ______.

Options

• 0

• 1

• 2

• 3

Answer 1

If p and q are respectively the order and degree of the differential equation `d/dx((dy)/(dx))^3 = 0`, then (p − q) is 1.

Explanation:

`d/dx((dy)/(dx))^3 = 0`

`3((dy)/(dx))^2 (d^2y)/(dx^2) = 0`

Here, order (p) = 2

degree (q) = 1

Now, p − q

= 2 − 1

= 1