Answered: Given - ()* -2 -16 X' = -8 sin(2t) (a)…

Given - ()* -2 -16 X' = -8 sin(2t) (a) Verify that X1(1) = ( cos(24) + sin(21) ) ª ( 4 cos(2t) – 4sin(2t) sin(2t) and X2(t) are solutions to the given system.

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

my question is in the image.

When I do my work, I cant seem to get the right answers. I can get close 4cos(2t) or 4sin(2t) but I can not get my answers to look right. Can you please help?