# Example 1 - Chapter 9 Class 12 Differential Equations (Important Question)

Last updated at May 29, 2018 by Teachoo

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

Chapter 9 Class 12 Differential Equations

Example 1
Important
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Ex 9.1, 11 Important

Ex 9.1, 12 Important

Example 7 Important

Ex 9.3, 7 Important

Ex 9.3, 10 Important

Example 13 Important

Ex 9.4, 14 Important

Example 17 Important

Example 18 Important

Ex 9.5, 8 Important

Ex 9.5, 15 Important

Example 22 Important

Ex 9.6, 7 Important

Ex 9.6, 13 Important

Ex 9.6, 14 Important

Example 25 Important

Example 27 Important

Example 28 Important

Misc 6 Important

Misc 11 Important

Misc 12 Important

Misc 13 Important

Class 12

Important Questions for exams Class 12

- Chapter 1 Class 12 Relation and Functions
- Chapter 2 Class 12 Inverse Trigonometric Functions
- Chapter 3 Class 12 Matrices
- Chapter 4 Class 12 Determinants
- Chapter 5 Class 12 Continuity and Differentiability
- Chapter 6 Class 12 Application of Derivatives
- Chapter 7 Class 12 Integrals
- Chapter 8 Class 12 Application of Integrals
- Chapter 9 Class 12 Differential Equations
- Chapter 10 Class 12 Vector Algebra
- Chapter 11 Class 12 Three Dimensional Geometry
- Chapter 12 Class 12 Linear Programming
- Chapter 13 Class 12 Probability

About the Author

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.