Question

Find the order and degree of the differential equation (y”’)^2+7(y’)^2-(cos⁡x)^2=0

(a) Order- 0, Degree-2

(b) Order- 3, Degree-2

(c) Order- 3, Degree-3

(d) Order- 1, Degree-2

I got this question in quiz.

I'd like to ask this question from Differential Equations Basics-1 topic in chapter Differential Equations of Mathematics – Class 12

Answer 1

Correct option is (c) Order- 3, Degree-3

Easy explanation: The highest order derivative in the equation is y”’. Hence, the order is 3. The equation is polynomial in y”’. Therefore, the degree of the D.E will be the power of the derivative y”’ i.e. 2.