Ex 9.4, 23 - Chapter 9 Class 12 Differential Equations (Term 2)
Last updated at Aug. 11, 2021 by Teachoo
Last updated at Aug. 11, 2021 by Teachoo
Transcript
Ex 9.4, 23 The general solution of the differential equation ππ¦/ππ₯=π^(π₯+π¦) is (A) π^π₯+π^(βπ¦)=πΆ (B) π^π₯+π^π¦=πΆ (C) π^(βπ₯)+π^π¦=πΆ (D) π^(βπ₯)+π^(βπ¦)=πΆ ππ¦/ππ₯ = π^(π₯ + π¦) ππ¦/ππ₯ = π^(π₯ ) π^( π¦) ππ¦/π^π¦ = π^(π₯ ) ππ₯ Integrating both sides β«1βπ^(βπ¦) ππ¦= β«1βπ^π₯ ππ₯ γβπγ^(βπ¦) = π^π₯+π π^π₯ + π^(βπ¦) = C β΄ Option (A) is correct.
Variable separation - Equation given
Example 26
Misc 16 (MCQ)
Ex 9.4, 3
Ex 9.4, 8
Example 9
Ex 9.4, 7 Important
Example 10
Ex 9.4, 6
Ex 9.4, 2
Misc 6
Example 11
Ex 9.4, 5
Ex 9.4, 14
Ex 9.4, 13
Example 12 Important
Ex 9.4, 16
Ex 9.4, 12
Ex 9.4, 11 Important
Ex 9.4, 1 Important
Ex 9.4, 15 Important
Misc 9 Important
Ex 9.4, 4 Important
Ex 9.4, 9 Important
Misc 8
Ex 9.4, 10 Important
Misc 14 Important
Misc 7 Important
Variable separation - Equation given
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