Question

Find the order and degree of the differential equation 7y’-3y=0.

(a) Order -1, Degree-2

(b) Order -2, Degree-3

(c) Order -1, Degree-1

(d) Order -3, Degree-2

The question was posed to me in an online quiz.

Question is from Differential Equations Basics-1 topic in portion Differential Equations of Mathematics – Class 12

Answer 1

Correct choice is (c) Order -1, Degree-1

The best I can explain: In the given D.E, the highest order derivative is y’. Therefore, the order is 1. The given D.E 7y’-3y=0 is a polynomial equation in y’ and the power raised to the highest derivative is 1. Hence, the degree is 1.