Ex 9.4, 3 - Chapter 9 Class 12 Differential Equations
Last updated at Sept. 25, 2018 by Teachoo
Transcript
Ex 9.4, 3 For each of the differential equations in Exercises 1 to 10, find the general solution : 𝑑𝑦𝑑𝑥+𝑦=1 𝑦≠1 𝑑𝑦𝑑𝑥+𝑦=1 𝑑𝑦𝑑𝑥=1−𝑦 𝑑𝑦 = (1 − y) dx 𝑑𝑦1 − 𝑦 = dx 𝑑𝑦𝑦 − 1 = −dx Integrating both sides. 𝑑𝑦𝑦 − 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
Chapter 9 Class 12 Differential Equations
Serial order wise
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