Example 10 - Chapter 9 Class 12 Differential Equations (Term 2)
Last updated at Dec. 24, 2018 by Teachoo
Transcript
Example 10 Find the general solution of the differential equation ππ¦/ππ₯=(1 + π¦^2)/(1 + π₯^2 ) ππ¦/ππ₯=(1 + π¦^2)/(1 + π₯^2 ) ππ¦/(1 + π¦2)=ππ₯/(1 + π₯^2 ) Integrating both sides β«1βππ¦/(1 + π¦^2 ) = β«1βππ¦/(1 + π₯^2 ) (β«1β1/(1 + π₯^2 ) dx = tanβ1 x + c) tanβ1 y = tanβ1 x + c tanβ1 y = tanβ1 x + c is the general solution of the given equation
Examples
Example 1 (i)
Example 1 (ii) Important
Example 1 (iii) Important
Example 2
Example 3 Important
Example 4 Deleted for CBSE Board 2022 Exams
Example 5 Deleted for CBSE Board 2022 Exams
Example 6 Important Deleted for CBSE Board 2022 Exams
Example 7 Deleted for CBSE Board 2022 Exams
Example 8 Deleted for CBSE Board 2022 Exams
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Example 10 You are here
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Example 12 Important
Example 13
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Example 15 Important
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Example 17 Important
Example 18 Important
Example 19
Example 20 Important
Example 21 Deleted for CBSE Board 2022 Exams
Example 22 Important
Example 23 Important
Example 24
Example 25 Deleted for CBSE Board 2022 Exams
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Example 27 Important
Example 28 Important Deleted for CBSE Board 2022 Exams
Chapter 9 Class 12 Differential Equations (Term 2)
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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.