Calculus 3 - Undetermined Coefficient
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Last updated 5:14 AM on 3/18/26
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9 Terms
1
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Given Qeⁿ
yp = Ae^rt
2
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Given a variation of a polynomial
yp = At² + Bt + C
3
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Given a trig function
Acos(x) + Bsin(x) [ A is on cos if sin, A is on sin if cos]
4
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Given a trig function + Qeⁿ
Ae^x + Bcos(x) + Csin(x)
5
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Given number by itself
Ae^0t
or just A
6
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Given polynomial x Qeⁿ
(Ax² + Bx + C)De²x [only go as high as the polynomial]
Ae^x (Bx + C) if only have 2x
7
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constant + trig function
A + Bsin(2t) + Ccos(2t)
8
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Qeⁿ x trig function
e^t ( Acos(t) + Bsin(t))
9
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Qeⁿ + Qe²ⁿ
Aeⁿ + Be²ⁿ
