This is the first part of a two-part problem. Let O 21 P = -2 sin(2t)] -2 cos(2t)]* cos(2t) y1(t) sin(2t)| ÿ2(t) = a. Show that 1(t) is a solution to the system i' = Pý by evaluating derivatives and the matrix product O 2] -2 Enter your answers in terms of the variable t. b. Show that y2(t) is a solution to the system i' = Pj by evaluating derivatives and the matrix product %(t) y2(t) Enter your answers in terms of the variable t.
This is the first part of a two-part problem. Let O 21 P = -2 sin(2t)] -2 cos(2t)]* cos(2t) y1(t) sin(2t)| ÿ2(t) = a. Show that 1(t) is a solution to the system i' = Pý by evaluating derivatives and the matrix product O 2] -2 Enter your answers in terms of the variable t. b. Show that y2(t) is a solution to the system i' = Pj by evaluating derivatives and the matrix product %(t) y2(t) Enter your answers in terms of the variable t.
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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![This is the first part of a two-part problem.
Let
O 21
P =
-2 sin(2t)]
-2 cos(2t)]*
cos(2t)
y1(t)
sin(2t)| ÿ2(t) =
a. Show that 1(t) is a solution to the system i' = Pý by evaluating derivatives and the
matrix product
O 2]
-2
Enter your answers in terms of the variable t.
b. Show that y2(t) is a solution to the system i' = Pj by evaluating derivatives and the
matrix product
%(t)
y2(t)
Enter your answers in terms of the variable t.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc104402c-06e4-41d9-95f7-c204e4d0b0da%2Fd41dfe82-fdde-4ae0-8fa4-6c90b74f408c%2Febuarcu_processed.png&w=3840&q=75)
Transcribed Image Text:This is the first part of a two-part problem.
Let
O 21
P =
-2 sin(2t)]
-2 cos(2t)]*
cos(2t)
y1(t)
sin(2t)| ÿ2(t) =
a. Show that 1(t) is a solution to the system i' = Pý by evaluating derivatives and the
matrix product
O 2]
-2
Enter your answers in terms of the variable t.
b. Show that y2(t) is a solution to the system i' = Pj by evaluating derivatives and the
matrix product
%(t)
y2(t)
Enter your answers in terms of the variable t.
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