Find the order of the differential \(\left (\frac{d^2 y}{dx^3}\right )^3+5\) cos⁡x-sin⁡x=0

Category: QuestionsFind the order of the differential \(\left (\frac{d^2 y}{dx^3}\right )^3+5\) cos⁡x-sin⁡x=0
Editor">Editor Staff asked 11 months ago

Find the order of the differential \(\left (\frac{d^2 y}{dx^3}\right )^3+5\) cos⁡x-sin⁡x=0
 
(a) 3
 
(b) 2
 
(c) 1
 
(d) 4
 
I have been asked this question in an online interview.
 
My doubt stems from Differential Equations Basics-2 topic in section 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 answer is (b) 2
 
Easiest explanation: In the differential equation \(\left (\frac{d^2 y}{dx^3}\right )^3+5\) cos⁡x-sin⁡x=0, the highest order derivative is \(\frac{d^2 y}{dx^2}\). Therefore, the order of the differential equation is 2.