Ex 9.2, 3 - Chapter 9 Class 12 Differential Equations

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Ex 9.2, 3 - Verify solution: y = cos x + C , y' + sin x = 0 - Ex 9.2

Ex 9.2, 3 - Chapter 9 Class 12 Differential Equations - Part 2

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Ex 9.2, 3 Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation : 𝑦= cos﷮𝑥+𝐶﷯ : 𝑦﷮′﷯+ sin﷮𝑥=0﷯ 𝑦= cos﷮𝑥+𝐶﷯ 𝑑𝑦﷮𝑑𝑥﷯=−sin⁡𝑥+0=−sin⁡𝑥 Now , we have to verify 𝑦﷮′﷯+sin⁡𝑥=0 Taking L.H.S ∴ 𝑦﷮′﷯+sin⁡𝑥 =−sin⁡𝑥+sin⁡𝑥 =0 = R.H.S Hence Verified

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo