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Question: The order of the differential equation whose solution is \(y = a \cos x + b \sin x + c e ^ { - x }\...

The order of the differential equation whose solution is

y=acos⁡x+bsin⁡x+ce−xy = a \cos x + b \sin x + c e ^ { - x }is

A

3

B

2

C

1

D

None of these

Answer

3

Explanation

Solution

y=acos⁡x+bsin⁡x+ce−xy = a \cos x + b \sin x + c e ^ { - x }is a three parameter family of curves, so its differential equation is third order differential equation.