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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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
Transcribed Image Text:Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is
e-t
y(t)= Cjet+Coe2t -3tet +cost-
O A)y" +3y'+2y=3tet+cost -3sint
O By" – 2y'-3y -3et+3e-t+ sint
O Cy"-3y'+2y=3et +cost +3sint-3e-t
O Dy"+3y'+2y=3et+3cost -3sint -3e-t
5.
y"-3y'+2y=-3et-cost+3sint-
e-t
E)
立
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