Ex 9.2, 11 - Number of arbitrary constants in general solution - 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, 11 The number of arbitrary constants in the general solution of a differential equation of fourth order are : (A) 0 (B) 2 (C) 3 (D) 4 Let =1 Integrating Both Sides , we get = + 1 Again Integrating = 2 2 + 1 + 2 Again Integrating = 3 6 + 1 2 2 + 2 + 3 Again Integrating = 4 24 + 1 3 6 + 2 2 2 + 3 + 4 Number of Constants =4 Thus, Number of arbitrary Constants = Order of Differential Equation. Option D is correct

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