This is the general form of the particular equation And if you look back that rule works.
functions then combine like terms and turn any constant you might get to letters. The best way to generalize it is that When you have a non-homogeneous equation the particular solution is usually A constant times the function + another Constant times the function's derivative+another other constant times the next derivative until you reach a constant-0- or until you stop getting new euaton forms like in trig.
So the solution for a differential equation for it will be X+CĪnd for sin x you know its= Asinx+BcosX so multiply the two. In that case the easiest way to go about it is:
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