Find the solution of the given initial value problem: y(t) = y (4) + 2y"+y" + 8y′ − 12y = 18 sin(t) + 60e-t; 57 81 y(0) = 0, y'(0) 5 = 5 , y″(0) = 6 y" (0) = -

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the solution of the given initial value problem:
y(t)
=
y (4) + 2y"+y" + 8y′ − 12y = 18 sin(t) + 60e-t;
57
81
y(0) = 0, y'(0)
5
=
5
, y″(0) =
6
y" (0)
=
-
Transcribed Image Text:Find the solution of the given initial value problem: y(t) = y (4) + 2y"+y" + 8y′ − 12y = 18 sin(t) + 60e-t; 57 81 y(0) = 0, y'(0) 5 = 5 , y″(0) = 6 y" (0) = -
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