Find the order and degree of the differential equation y”’-(4y’)^3=0

Category: QuestionsFind the order and degree of the differential equation y”’-(4y’)^3=0
Editor">Editor Staff asked 11 months ago

Find the order and degree of the differential equation y”’-(4y’)^3=0
 
(a) Order -3, Degree-1
 
(b) Order -1, Degree-3
 
(c) Order -2, Degree-1
 
(d) Order -3, Degree-2
 
The question was asked in an interview for internship.
 
I want to ask this question 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 choice is (a) Order -3, Degree-1
 
Easy explanation: In the D.E y”’-(4y’)^3=0, the highest order derivative is y”’. Therefore, the order of the D.E is 3. Since it is a polynomial equation, the degree will be the power raised to y”’. Therefore, the degree is 1.