Example 1 - Chapter 9 Class 12 Differential Equations (Important Question)
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
Chapter 9 Class 12 Differential Equations
Ex 9.1, 11 Important
Ex 9.1, 12
Example 7 Deleted for CBSE Board 2021 Exams only
Ex 9.3, 7 Important Deleted for CBSE Board 2021 Exams only
Ex 9.3, 10 Important Deleted for CBSE Board 2021 Exams only
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 Deleted for CBSE Board 2021 Exams only
Example 27 Important
Example 28 Important Deleted for CBSE Board 2021 Exams only
Misc 6
Misc 11
Misc 12
Misc 13
Chapter 9 Class 12 Differential Equations
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