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Given Qeⁿ
yp = Ae^rt
Given a variation of a polynomial
yp = At² + Bt + C
Given a trig function
Acos(x) + Bsin(x) [ A is on cos if sin, A is on sin if cos]
Given a trig function + Qeⁿ
Ae^x + Bcos(x) + Csin(x)
Given number by itself
Ae^0t
or just A
Given polynomial x Qeⁿ
(Ax² + Bx + C)De²x [only go as high as the polynomial]
Ae^x (Bx + C) if only have 2x
constant + trig function
A + Bsin(2t) + Ccos(2t)
Qeⁿ x trig function
e^t ( Acos(t) + Bsin(t))
Qeⁿ + Qe²ⁿ
Aeⁿ + Be²ⁿ