Ex 9.2, 11 - Number of arbitrary constants in general solution

Ex 9.2, 11 - Chapter 9 Class 12 Differential Equations - Part 2


Ex 9.2, 11 The number of arbitrary constants in the general solution of a differential equation of fourth order are : (A) 0 (B) 2 (C) 3 (D) 4 We know that Number of arbitrary Constants = Order of Differential Equation. Since Order = 4 ∴ Number of Constants =4 Thus, Option D is correct For Example A differential equation of fourth order is 𝑦^β€²β€²β€²β€²=1 And, its general solution is 𝑦=π‘₯^4/24+(𝐴π‘₯^3)/6+(𝐡π‘₯^2)/2+𝐢π‘₯+𝐷 ∴ Number of Constants =4

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.