Find the degree of the D.E (\frac{d^2 y}{dx^2})-3 tan⁡x=0.

Category: QuestionsFind the degree of the D.E (\frac{d^2 y}{dx^2})-3 tan⁡x=0.
Editor">Editor Staff asked 11 months ago

Find the degree of the D.E (\frac{d^2 y}{dx^2})-3 tan⁡x=0.
 
(a) 2
 
(b) 1
 
(c) 3
 
(d) 4
 
The question was posed to me by my school teacher while I was bunking the class.
 
My question comes from Differential Equations Basics-1 topic in division 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) 1
 
For explanation I would say: The given equation is a polynomial differential equation. Therefore, the degree of the equation will the power of the highest derivative \frac{d^2 y}{dx^2} i.e. 1.