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Differential equation: u'' + 9u = 9cos(3t). r=+/- 3i When you use the method of particular solutions, is the equation you assume Acos(3t) +Btsin(3t)?...

Differential equation: u'' + 9u = 9cos(3t).

r=+/- 3i

When you use the method of particular solutions, is the equation you assume Acos(3t) +Btsin(3t)? If not, why and how do you assume the right equation?

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