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What is the order of the differential equation whose solution is y = a cos x + b sin x + ce-x + d, where a, b, c and d are arbitrary constants?

What is the order of the differential equation whose solution is y = a cos x + b sin x + ce-x + d, where a, b, c and d are arbitrary constants? Correct Answer 4

Concept:

  • Order: The order of differential equation is equal to the number of arbitrary constants in the general equation


Calculation:

Given:

y = a cos x + b sin x + ce-x + d

Here a, b, c and d are arbitrary constants.

Order = 4     (∵ No. of arbitrary constants = 4)

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