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.
 Spring '13
 EricCytrynbaum
 Differential Equations, Equations

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