How many arbitrary constants will be there in the general solution of a second order differential equation?

Category: QuestionsHow many arbitrary constants will be there in the general solution of a second order differential equation?
Editor">Editor Staff asked 11 months ago

How many arbitrary constants will be there in the general solution of a second order differential equation?
 
(a) 3
 
(b) 4
 
(c) 2
 
(d) 1
 
The question was asked in an interview.
 
My question is from General and Particular Solutions of Differential Equation 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 (c) 2
 
Explanation: The number of arbitrary constants in a general solution of a n^th order differential equation is n.
 
Therefore, the number of arbitrary constants in the general solution of a second order D.E is 2.