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Solving Linear differential equations - Equation given
Ex 9.5, 19 (MCQ) Important
Misc 14 (MCQ) Important
Ex 9.5, 2
Ex 9.5, 10
Ex 9.5, 3 Important
Ex 9.5, 4
Misc 15 (MCQ)
Ex 9.5, 13
Ex 9.5, 8 Important
Misc 10 Important
Misc 11
Ex 9.5, 14 Important
Ex 9.5, 6
Ex 9.5, 5 Important
Ex 9.5, 9
Ex 9.5, 7 Important
Ex 9.5, 15
Example 14
Ex 9.5, 1 Important
Ex 9.5, 12 Important
Ex 9.5, 11
Example 16
Example 17 Important
Example 22 Important
Solving Linear differential equations - Equation given
Last updated at Aug. 14, 2023 by Teachoo
Ex 9.5, 18 The integrating Factor of the differential equation 𝑥 𝑑𝑦/𝑑𝑥−𝑦=2𝑥^2 is (A) 𝑒^(−𝑥) (B) 𝑒^(−𝑦) (C) 1/𝑥 (D) 𝑥 𝑥 𝑑𝑦/𝑑𝑥−𝑦=2𝑥^2 Dividing both sides by x 𝒅𝒚/𝒅𝒙 − 𝒚/𝒙 = 2x Differential equation in of the form 𝑑𝑦/𝑑𝑥 + 𝑃𝑦 = Q where P = (−𝟏)/𝒙 & Q = 2x IF = 𝑒^∫1▒〖𝑝 𝑑𝑥〗 IF = 𝐞^(∫1▒(−𝟏)/𝒙 𝒅𝒙) IF = 𝑒^("−" log𝑥 ) IF = 𝑒^log〖𝑥^(−1) 〗 IF = x−1 IF = 𝟏/𝒙 So, the correct answer is (c)