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

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

Take a fresh quiz. Then take another.
Every attempt is a new AI-adaptive Teachoo quiz with 3 questions, selected from your answers, mistakes, and progress.
Remove Ads

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 is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.