Ex 9.2, 2 - Verify solution: y = x2 + 2x + C : y' - 2x -2 = 0 - Gen and Particular Solution

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  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise
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Ex 9.2, 2 Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation : 𝑦= 𝑥﷮2﷯+2𝑥+𝐶 : 𝑦﷮′﷯−2𝑥−2=0 𝑦= 𝑥﷮2﷯+2𝑥+𝐶 𝑑𝑦﷮𝑑𝑥﷯= 𝑑 𝑥﷮2﷯ + 2𝑥 + 𝑐﷯﷮𝑑𝑥﷯ =2𝑥+2 We have to prove 𝑦﷮′﷯−2𝑥−2=0 Taking L.H.S 𝑦﷮′﷯−2𝑥−2 =2𝑥+2−2𝑥−2 =0 = R.H.S ∴ 𝒚﷮′﷯−𝟐𝒙−𝟐=𝟎 Hence Verified

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