Find the degree of the differential equation \frac{d^3 y}{dx^3}+y^2=0

Category: QuestionsFind the degree of the differential equation \frac{d^3 y}{dx^3}+y^2=0
Editor">Editor Staff asked 11 months ago

Find the degree of the differential equation \frac{d^3 y}{dx^3}+y^2=0
 
(a) 5
 
(b) 4
 
(c) 2
 
(d) 1
 
The question was posed to me during an interview for a job.
 
The question is from Differential Equations Basics-2 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

The correct option is (d) 1
 
For explanation I would say: The given is a polynomial differential equation in \frac{d^3 y}{dx^3}. Therefore, its degree will be the power raised to the highest order derivative \frac{d^3 y}{dx^3} which is 1.