# Example 1 - Chapter 9 Class 12 Differential Equations (Term 2)

Last updated at Dec. 11, 2019 by Teachoo

Last updated at Dec. 11, 2019 by Teachoo

Transcript

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

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Chapter 9 Class 12 Differential Equations (Term 2)

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 10 years. He provides courses for Maths and Science at Teachoo.