Answered: a-[: 3]«» [ t cos 2t f(t) = x(0) = t…

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a-[: 3]«» [ t cos 2t f(t) = x(0) = t sin 2t cos 2t sin 2t – sin 2t cos 2t eAt

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

For the Attached Problem, use the method of variation of parameters (and perhaps a computer algebra system) to solve the initial value problem

x’ = Ax + f(t), x(a) = x_a .

In each problem we provide the matrix exponential e^A^t as provided by a computer algebra system.

a-[: 3]«» [
t cos 2t
f(t) =
x(0) =
t sin 2t
cos 2t
sin 2t
– sin 2t
cos 2t
eAt

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