The number of arbitrary constants in the general solution of the differential equation of order three is __________________.

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Solution

We know,
Number of arbitrary constants in the general solution of the differential equation = Order of the differential equation

Since, order of the differential equation is 3
Thus, Number of arbitrary constants in the general solution of the differential equation = 3

Hence, the number of arbitrary constants in the general solution of the differential equation of order three is 3.

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The numbers of arbitrary constants in the general solution of a differential equation of fourth order are:

(A) 0 (B) 2 (C) 3 (D) 4

The number of arbitrary constants in the general solution of a differential equation of fourth order is
(a) zero
(b) 2
(c) 3
(d) 4

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