Problem

Find the function f (t) of the form f (t) = a cos(2t) + b sin(2t) such that f” (t)+2 f ‘...

Find the function f (t) of the form f (t) = a cos(2t) + b sin(2t) such that f” (t)+2 f ‘(t)+3 f (t) = 17 cos(2t). (This is the kind of differential equation you might have to solve when dealing with forced damped oscillators, in physics or engineering.)

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