Find the solution of the given initial value problem: y(4) + 2y" + y" + 8y' – 12y = 12 sin(t) + 40e-t; 38 4 54 y(0) = 0, y'(0) = 5 "(0) = "(0) 5 y(t) =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Differential eqn - method of undetermined coefficients

Find the solution of the given initial value problem:
y(4) + 2y" + y" + 8y' – 12y = 12 sin(t) + 40et;
38
y(0) = 0, y(0) =
4
54
3"(0) = y"(0) =
%3D
5'
5
y(t :
Transcribed Image Text:Find the solution of the given initial value problem: y(4) + 2y" + y" + 8y' – 12y = 12 sin(t) + 40et; 38 y(0) = 0, y(0) = 4 54 3"(0) = y"(0) = %3D 5' 5 y(t :
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