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


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Ex 9.3, 3 For each of the differential equations in Exercises 1 to 10, find the general solution : 𝑑𝑦/𝑑𝑥+𝑦=1(𝑦≠1) 𝑑𝑦/𝑑𝑥+𝑦=1 𝑑𝑦/𝑑𝑥=1−𝑦 𝑑𝑦 = (1 − y) dx 𝑑𝑦/(1 − 𝑦) = dx 𝒅𝒚/(𝒚 − 𝟏) = −dx Integrating both sides. ∫1▒〖𝑑𝑦/(𝑦 − 1)=〗 ∫1▒〖−𝑑𝑥〗 log (y − 1) = −x + C y − 1 = e(−x + C) y − 1 = e−x × eC y = e−x × eC + 1 Putting eC = A y = Ae−x + 1 is the general solution

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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.