\- (sin(2t))/ · I½(t) = | Let P = -2 cos(2t) -2 sin(2t)* ÿ,(t) = –2 cos(2t). a. Show that j (t) is a solution to the system j' = Pj by evaluating derivatives and the matrix product 0 2 9, (t) -2 0 Enter your answers in terms of the variable t b. Show that j2 (t) is a solution to the system j' = Pj by evaluating derivatives and the matrix product 0 2 1) - :) -2 0 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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Let
0 2
P =
-2 sin(2t)
cos(2t)
Ii (E) = |- (sin(2t): F½(t)
=
-2 cos(2t).
a. Show that j1 (t) is a solution to the system j'
Pj by evaluating derivatives and the matrix product
0 2
91(t)
-2 0
Enter your answers in terms of the variable t
b. Show that 2 (t) is a solution to the system j'
Pj by evaluating derivatives and the matrix product
O 2
Enter your answers in terms of the variable t
Transcribed Image Text:Let 0 2 P = -2 sin(2t) cos(2t) Ii (E) = |- (sin(2t): F½(t) = -2 cos(2t). a. Show that j1 (t) is a solution to the system j' Pj by evaluating derivatives and the matrix product 0 2 91(t) -2 0 Enter your answers in terms of the variable t b. Show that 2 (t) is a solution to the system j' Pj by evaluating derivatives and the matrix product O 2 Enter your answers in terms of the variable t
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