Slide22.JPG

Slide23.JPG

  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise

Transcript

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^′′′′=1 And, its general solution is 𝑦=𝑥^4/24+(𝐴𝑥^3)/6+(𝐵𝑥^2)/2+𝐶𝑥+𝐷 ∴ Number of Constants =4

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.