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NTA Abhyas JEE Main2020MathematicsDifferential EquationsPractice

The order of the differential equation whose general solution is given by y = c 1 + c 2 cos x + c 3 - c 4 e x + c 5 where c 1 , c 2 , c 3 , c 4 & c 5 are arbitrary constants, is

Options

A5
B4
C3
D2

Correct answer

C. 3

Step-by-step solution

The given equation can be written as y = C ⁡ cos ( x + c 3 ) - c 4 e c 5 e x ( where C = c 1 + c 2 ) ∴ 3 arbitary constants

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