Ex 9.4, 3 - Find general solution: dy/dx + y = 1 - Variable separation - Equation given

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  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise
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Ex 9.4, 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. ﷮﷮ 𝑑𝑦﷮𝑦 − 1﷯=﷯ ﷮﷮−𝑑𝑥﷯ log (y − 1) = −x + C y − 1 = e(− x + c) + 1 y = e−x × ec + 1 Putting ec = A y = Ae−x + 1 is the general solution

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