Ex 9.2, 5 - Verify solution: y = Ax , xy' = y - Chapter 9 - Ex 9.2

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  1. Chapter 9 Class 12 Differential Equations
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Ex 9.2, 5 Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation : 𝑦=A𝑥 : 𝑥 𝑦﷮′﷯=𝑦 𝑥≠0﷯ 𝑦=A𝑥 𝑑𝑦﷮𝑑𝑥﷯= 𝑑﷮𝑑𝑥﷯ 𝐴𝑥﷯ = A Now, we have to verify 𝑥 𝑦﷮′﷯=𝑦 Taking L.H.S 𝑥 𝑦﷮′﷯ =𝑥 A﷯ =A𝑥 =𝑦 = R.H.S Hence Verified

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