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Ex 9.2, 12 - Number of arbitrary constants in particular solution - Ex 9.2

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  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise
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Ex 9.2, 12 The number of arbitrary constants in the particular solution of differential equation of third order are : (A) 3 (B) 2 (C) 1 (D) 0 Let 𝑦﷮′﷯=𝑥 Integrating y = 𝑥﷮2﷯﷮2﷯+𝑐 For particular solution, we put value of constant For c = 0 𝑦= 𝑥﷮2﷯﷮2﷯ for c = 1 𝑦= 𝑥﷮2﷯﷮2﷯ + 1 So, there is no arbitrary constant in particular solution. ∴ Number of arbitrary constants = 0

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