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Question

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

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Solution

The quantity of arbitrary constants in the general arrangement of a differential equation of order n is equivalent to its order.

According to the question, the order of the differential equation is 4.so the number of constants in the general solution of fourth order differential equation is four.

Thus, option (D) is correct.


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