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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
Examples
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Example 4 Not in Syllabus - CBSE Exams 2021
Example 5 Not in Syllabus - CBSE Exams 2021
Example 6 Important Not in Syllabus - CBSE Exams 2021
Example 7 Not in Syllabus - CBSE Exams 2021
Example 8 Not in Syllabus - CBSE Exams 2021
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Example 14 Important
Example 15 Important
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Example 21 Not in Syllabus - CBSE Exams 2021
Example 22 Important
Example 23 Important
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Example 25 Not in Syllabus - CBSE Exams 2021
Example 26
Example 27 Important
Example 28 Important Not in Syllabus - CBSE Exams 2021
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