Question

Find the order of the differential equation \(\frac{9d^2 y}{dx^2}-\frac{7dy}{dx}+y^6=0\)

(a) 3

(b) 1

(c) 4

(d) 2

The question was posed to me during an interview.

The above asked question is from Differential Equations Basics-1 in portion Differential Equations of Mathematics – Class 12

Answer 1

Correct choice is (d) 2

The best explanation: The highest derivative of the given D.E is \(\frac{d^2 y}{dx^2}\). Therefore, the order is 2.