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

Category: QuestionsFind the order and degree of the differential equation (y”’)^2+7(y’)^2-(cos⁡x)^2=0
Editor">Editor Staff asked 11 months ago

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
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

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.