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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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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^("−" log⁡𝑥 ) IF = 𝑒^log⁡〖𝑥^(−1) 〗 IF = x−1 IF = 𝟏/𝒙 So, the correct answer is (c)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.