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Question
Write the order of the differential equation whose solution is y = a cos x + b sin x + c e−x.
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Solution
\[y = a \cos x + b \sin x + c e^{- x} \]
Here, we see that there are three arbitary constants .
Therefore, we differentiate it three times to get rid of all three arbitrary constants .
Hence, the order of the differential equation is 3 .
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