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Particular Solution of a Non-Homogeneous Linear Equation

I need help to find the answer for cos(x) in the following equation, showing all the steps.

d²y/dx² + y = cosx

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Solution. The homog.second order linear diff- eq d²y/dx² + y =0 has general solution
y=Acosx+Bsinx
Since the characteristic equation is
r^2+1=0
which gives rise to two complex roots r=i and r=-i

Now to find ...

$2.19