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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
Last updated at Aug. 11, 2021 by Teachoo
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.