If the general solution of a differential equation is y^2+2cy-cx+c^2=0, where c is an arbitrary constant, then what is the order of the differential equation?

NDA 2021 Mathematics question

If the general solution of a differential equation is , where is an arbitrary constant, then what is the order of the differential equation?

(A)1Correct
(B)2
(C)3
(D)4

Answer: (A)

Solution

The order of a differential equation equals the number of independent arbitrary constants in its general solution. The given solution contains only one arbitrary constant (the terms ,

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Question ID VK-033587