Lecture 7 Notes

# Need 3 unknowns but not including e5x method of

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Unformatted text preview: 5) y ￿￿ + 3y ￿ − 10y = x2 e−5x yp (x) = Ax e + Bxe ￿ 2 yp (x) involves x , x, 1 2 −5x −5x + Ce −5x Method of undetermined coefﬁcients (3.5) y ￿￿ + 3y ￿ − 10y = x2 e−5x yp (x) = Ax e + Bxe ￿ 2 yp (x) involves x , x, 1 2 −5x ￿￿ yp (x) involves x2 , x, 1 −5x + Ce −5x Method of undetermined coefﬁcients (3.5) y ￿￿ + 3y ￿ − 10y = x2 e−5x yp (x) = Ax e + Bxe ￿ 2 yp (x) involves x , x, 1 2 −5x −5x + Ce −5x ￿￿ yp (x) involves x2 , x, 1 But e−5x gets killed by the operator so C disappears - only 2 unknowns for matching. Method of undetermined coefﬁcients (3.5) y ￿￿ + 3y ￿ − 10y = x2 e−5x yp (x) = Ax e + Bxe ￿ 2 yp (x) involves x , x, 1 2 −5x −5x + Ce −5x ￿￿ yp (x) involves x2 , x, 1 But e−5x gets killed by the operator so C disappears - only 2 unknowns for matching. Need 3 unknowns but not including e−5x. Method of undetermined coefﬁcients (3.5) y ￿￿ + 3y ￿ − 10y = x2 e−5x yp (x) = Ax e + Bxe ￿ 2 yp (x) in...
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## This note was uploaded on 02/12/2014 for the course MATH 256 taught by Professor Ericcytrynbaum during the Spring '13 term at UBC.

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