Find the solution of the given initial value problem: y(4) + 2y″" +y" + 8y′ − 12y = 6 sin(t) + 80e¯t; 69 2 77 y(0) = 0, y'(0) y" (0) 5' 5 y(t) = = = y"”" (0) 5' =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the solution of the given initial value problem:
y(4) + 2y″" +y" + 8y′ − 12y = 6 sin(t) + 80e¯t;
69
2
77
y(0) = 0, y'(0)
y" (0)
5'
5
y(t) =
=
=
y"”" (0)
5'
=
Transcribed Image Text:Find the solution of the given initial value problem: y(4) + 2y″" +y" + 8y′ − 12y = 6 sin(t) + 80e¯t; 69 2 77 y(0) = 0, y'(0) y" (0) 5' 5 y(t) = = = y"”" (0) 5' =
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