Question

Find the order and degree of the differential equation 3y”-y’-e^y=0

(a) Order – 2, Degree – Not defined

(b) Order – 1, Degree – 1

(c) Order – 1, Degree – Not defined

(d) Order – 3, Degree – 3

I had been asked this question during a job interview.

My enquiry is from Differential Equations Basics-2 topic in portion Differential Equations of Mathematics – Class 12

Answer 1

Correct option is (a) Order – 2, Degree – Not defined

Easy explanation: In the differential equation 3y”-y’-e^y=0, the highest order derivative is y”. Therefore, the order is 2. The D.E is not polynomial, so the degree of the differential equation is not defined.