Check sibling questions

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

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

Introducing your new favourite teacher - Teachoo Black, at only ₹83 per month


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

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.