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Last updated at Dec. 11, 2019 by Teachoo

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Example 1 Find the order and degree, if defined , of each of the following differential equations : (i) ๐๐ฆ/๐๐ฅโcosโกใ๐ฅ=0ใ ๐๐ฆ/๐๐ฅโcosโกใ๐ฅ=0ใ ๐ฆ^โฒโcosโกใ๐ฅ=0ใ Highest order of derivative =1 โด Order = ๐ Degree = Power of ๐ฆ^โฒ Degree = ๐ Example 1 Find the order and degree, if defined , of each of the following differential equations : (ii) ๐ฅ๐ฆ (๐^2 ๐ฆ)/(๐๐ฅ^2 )+๐ฅ(๐๐ฆ/๐๐ฅ)^2โ๐ฆ ๐๐ฆ/๐๐ฅ=0 ๐ฅ๐ฆ (๐^2 ๐ฆ)/(๐๐ฅ^2 )+๐ฅ(๐๐ฆ/๐๐ฅ)^2โ๐ฆ ๐๐ฆ/๐๐ฅ=0 ๐ฅ๐ฆ๐ฆ^โฒโฒ+๐ฅ(๐ฆ^โฒ )^2โ๐ฆ๐ฆ^โฒ=0 Highest order of derivative = 2 โด Order = ๐ Degree = Power of ๐ฆ^โฒโฒ Degree = ๐ Example 1 Find the order and degree, if defined , of each of the following differential equations : (iii) ๐ฆ^โฒโฒโฒ+๐ฆ^2+๐^(๐ฆ^โฒ )=0 ๐ฆ^โฒโฒโฒ+๐ฆ^2+๐^(๐ฆ^โฒ )=0 Highest order of derivative = 3 โด Order = ๐ Degree Since ๐ฆ^โฒ is in ๐^(๐ฆ^โฒ ) It is not a polynomial equation โด 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

Example 7

Ex 9.3, 7 Important

Ex 9.3, 10 Important

Example 13

Ex 9.4, 14

Example 17 Important

Example 18

Ex 9.5, 8

Ex 9.5, 15

Example 22 Important

Ex 9.6, 7 Important

Ex 9.6, 13

Ex 9.6, 14

Example 25

Example 27 Important

Example 28 Important

Misc 6

Misc 11

Misc 12

Misc 13

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.