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Example 10 - Chapter 9 Class 12 Differential Equations (Term 2)
Last updated at Dec. 24, 2018 by Teachoo
Examples
Example 1 (i)
Example 1 (ii) Important
Example 1 (iii) Important
Example 2
Example 3 Important
Example 4 Deleted for CBSE Board 2023 Exams
Example 5 Deleted for CBSE Board 2023 Exams
Example 6 Important Deleted for CBSE Board 2023 Exams
Example 7 Deleted for CBSE Board 2023 Exams
Example 8 Deleted for CBSE Board 2023 Exams
Example 9
Example 10 You are here
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Example 12 Important
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Example 15 Important
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Example 17 Important
Example 18 Important
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Example 20 Important
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Example 22 Important
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Example 24
Example 25 Deleted for CBSE Board 2023 Exams
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Example 27 Important
Example 28 Important
Chapter 9 Class 12 Differential Equations
Serial order wise
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
