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  4. The order of the differential equation whose solution is: y = a cos x + b sin x + ce-x is :

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Q. The order of the differential equation whose solution is :
$y = a \, \cos \, x + b \, \sin \, x + ce^{-x}$ is :

Differential Equations

Solution:

Given : $y = a \, \cos \, x + b \, \sin \, x + ce^{-x}$
This equation has three parameters.
$\therefore $ The order of differential equation is 3.