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Ex 9.2, 11 - Number of arbitrary constants in general solution

Ex 9.2, 11 - Chapter 9 Class 12 Differential Equations - Part 2

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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 We know that Number of arbitrary Constants = Order of Differential Equation. Since Order = 4 ∴ Number of Constants =4 Thus, Option D is correct For Example A differential equation of fourth order is 𝑦^β€²β€²β€²β€²=1 And, its general solution is 𝑦=π‘₯^4/24+(𝐴π‘₯^3)/6+(𝐡π‘₯^2)/2+𝐢π‘₯+𝐷 ∴ Number of Constants =4

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