Lecture 7 Notes

# 2t method of undetermined coefcients 35 y 3y 10y

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Unformatted text preview: At4 + Bt3 + Ct2 + Dt)e2t 3 2 2t yp (t) = t(At + Bt + Ct + D)e 3 2 (E) Don’t know / still thinking. 2t Method of undetermined coefﬁcients (3.5) y ￿￿ + 3y ￿ − 10y = x2 e−5x Method of undetermined coefﬁcients (3.5) y ￿￿ + 3y ￿ − 10y = x2 e−5x yp (x) = Ax2 e−5x Method of undetermined coefﬁcients (3.5) y ￿￿ + 3y ￿ − 10y = x2 e−5x yp (x) = Ax2 e−5x ￿ yp (x) = 2Axe−5x − 5Ax2 e−5x Method of undetermined coefﬁcients (3.5) y ￿￿ + 3y ￿ − 10y = x2 e−5x yp (x) = Ax2 e−5x ￿ yp (x) = 2Axe−5x − 5Ax2 e−5x ￿￿ yp (x) = 2Ae −5x − 10Axe −5x − 10Axe −5x + 25Ax e 2 −5x Method of undetermined coefﬁcients (3.5) y ￿￿ + 3y ￿ − 10y = x2 e−5x yp (x) = Ax2 e−5x ￿ yp (x) = 2Axe−5x − 5Ax2 e−5x ￿￿ yp (x) = 2Ae −5x −10yp (x) = ￿ 3yp (x) ￿￿ yp (x) = − 10Axe −5x − 10Axe −5x + 25Ax e 2 −5x − 10Ax e 2 −5x 6Axe −5x − 15Ax e 2 −5x = 2Ae−5x − 20Axe−5x + 25Ax2 e−5x Method of undetermine...
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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 The University of British Columbia.

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