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


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Ex 9.5, 3 For each of the differential equation given in Exercises 1 to 12, find the general solution : 𝑑𝑦/𝑑𝑥+𝑦/𝑥=𝑥^2 𝑑𝑦/𝑑𝑥+𝑦/𝑥=𝑥^2 Differential equation is of the form 𝑑𝑦/𝑑𝑥+𝑃𝑦=𝑄 where P = 𝟏/𝒙 and Q = x2 Finding integrating factor, I.F = e^∫1▒〖𝑝 𝑑𝑥〗 IF = e^∫1▒〖1/𝑥 𝑑𝑥〗 IF = e^log⁡𝑥 IF = x Solution is y (IF) = ∫1▒〖(𝑄×𝐼𝐹)𝑑𝑥+𝑐〗 yx = ∫1▒〖𝒙^𝟐×𝒙×𝒅𝒙+𝒄〗 yx = ∫1▒〖𝑥^3 𝑑𝑥+𝑐〗 yx = 𝑥^4/4+𝑐 xy = 𝒙^𝟒/𝟒+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.