Question

Find the order and degree of the differential equation y”’-(4y’)^3=0

(a) Order -3, Degree-1

(b) Order -1, Degree-3

(c) Order -2, Degree-1

(d) Order -3, Degree-2

The question was asked in an interview for internship.

I want to ask this question from Differential Equations Basics-1 topic in section Differential Equations of Mathematics – Class 12

Answer 1

The correct choice is (a) Order -3, Degree-1

Easy explanation: In the D.E y”’-(4y’)^3=0, the highest order derivative is y”’. Therefore, the order of the D.E is 3. Since it is a polynomial equation, the degree will be the power raised to y”’. Therefore, the degree is 1.