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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.

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
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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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?

3. Given X' - ( ) * 2 -16 2 (a) Verify that X1(t) = (-8 sin(2t) cos(2t) + sin(2t) ) and X2(t) = ( 4 cos(2t) – 4 sin(2t) ) are solutions to the given sin(2t) system.
Transcribed Image Text:3. Given X' - ( ) * 2 -16 2 (a) Verify that X1(t) = (-8 sin(2t) cos(2t) + sin(2t) ) and X2(t) = ( 4 cos(2t) – 4 sin(2t) ) are solutions to the given sin(2t) system.
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