# Ex 9.5, 18 (MCQ) - Chapter 9 Class 12 Differential Equations

Last updated at April 16, 2024 by Teachoo

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Ex 9.5, 18 (MCQ) You are here

Ex 9.5, 19 (MCQ) Important

Last updated at April 16, 2024 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)