Find the degree of the D.E \(\frac{d^2 y}{dx^2}+5 cot⁡(\frac{dy}{dx})\)=0

Category: QuestionsFind the degree of the D.E \(\frac{d^2 y}{dx^2}+5 cot⁡(\frac{dy}{dx})\)=0
Editor">Editor Staff asked 11 months ago

Find the degree of the D.E \(\frac{d^2 y}{dx^2}+5 cot⁡(\frac{dy}{dx})\)=0
 
(a) five
 
(b) three
 
(c) two
 
(d) not defined
 
The question was posed to me by my school principal while I was bunking the class.
 
This intriguing question comes from Differential Equations Basics-1 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

The correct answer is (d) not defined
 
To elaborate: The given differential equation is not polynomial. Hence, the degree of the differential equation will not be defined.