Example 1 - Chapter 9 Class 12 Differential Equations
Last updated at May 29, 2018 by Teachoo
Transcript
Example 1 Find the order and degree, if defined , of each of the following differential equations : (i) 𝑑𝑦𝑑𝑥− cos𝑥=0 𝑑𝑦𝑑𝑥− cos𝑥=0 𝑦′− cos𝑥=0 Highest order of derivative =1 ∴ Order =𝟏 Degree = Power of 𝑦′ Degree =𝟏 Example 1 Find the order and degree, if defined , of each of the following differential equations : (ii) 𝑥𝑦 𝑑2𝑦𝑑 𝑥2+𝑥 𝑑𝑦𝑑𝑥2−𝑦 𝑑𝑦𝑑𝑥=0 𝑥𝑦 𝑑2𝑦𝑑 𝑥2+𝑥 𝑑𝑦𝑑𝑥2−𝑦 𝑑𝑦𝑑𝑥=0 𝑥𝑦 𝑦′′+𝑥 𝑦′2+𝑦 𝑦′=0 Highest order of derivative =2 ∴ Order =𝟐 Degree = Power of 𝑦′′ Degree =𝟏 Example 1 Find the order and degree, if defined , of each of the following differential equations : (iii) 𝑦′′′+ 𝑦2+ 𝑒 𝑦′=0 𝑦′′′+ 𝑦2+ 𝑒 𝑦′=0 Highest order of derivative =3 ∴ Order =𝟑 Degree Since 𝑦′ is in 𝑒𝑦′ It is not a polynomial equation in derivatives ∴ Degree is not defined
Examples
Example 1
Important
You are here
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7 Important
Example 8
Example 9
Example 10
Example 11
Example 12
Example 13 Important
Example 14
Example 15
Example 16
Example 17 Important
Example 18 Important
Example 19
Example 20
Example 21
Example 22 Important
Example 23
Example 24
Example 25 Important
Example 26
Example 27 Important
Example 28 Important
Chapter 9 Class 12 Differential Equations
Serial order wise
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.