Solving 4th Order Differential Equation: ay + by'''' = c( d + e^ikx )

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4th order differential equation :

ay + by'''' = c( d + e^ikx )

Given a, b, c, d, k are constants and i = sqrt(-1)

Is there any solution for y(x) ?
 
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It is possible to solve it. The equation is linear with constant coefficients. Just need to identify the roots of

br4 + a = 0.
 

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