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Ex 9.3
Ex 9.3, 2 You are here
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Ex 9.3, 23 (MCQ)
Last updated at May 29, 2023 by Teachoo
Ex 9.3, 2 For each of the differential equations in Exercises 1 to 10, find the general solution : 𝑑𝑦𝑑𝑥= 4− 𝑦2 −2<𝑦<2 𝑑𝑦𝑑𝑥 = 4−𝑦2 𝑑𝑦 4 − 𝑦2 = dx. 𝑑𝑦 22−𝑦2 = dx Integrating both sides 𝑑𝑦 22 − 𝑦2= 𝑑𝑥 sin−1 𝑦2 = x + c 𝑦2 = sin(x + c) y = 2 sin(x + c) ∴ y = 2 sin (x + c) is the general solution