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The number of arbitrary constants in a particular solution of a fourth order differential equation is __________________

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in Mathematics - Class 12 by (687k points)
The number of arbitrary constants in a particular solution of a fourth order differential equation is __________________

(a) 1

(b) 0

(c) 4

(d) 3

I have been asked this question by my college professor while I was bunking the class.

This is a very interesting question from General and Particular Solutions of Differential Equation in division Differential Equations of Mathematics – Class 12

1 Answer

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Best answer
Right answer is (b) 0

Best explanation: The number of arbitrary constants for a particular solution of n^th order differential equation is always zero.

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