This is the first part of a two-part problem. Let Enter your answers in terms of the variable t. ÿ₁ (t) = P = Enter your answers in terms of the variable t. cos(7t) sin(7t) 0 ja(t) = a. Show that 7₁ (t) is a solution to the system ÿ' = Pý by evaluating derivatives and the matrix product Fí(t) = [_ Jū1 (t) ]-[ 0 b. Show that y₂ (t) is a solution to the system ÿ' = Pÿ by evaluating derivatives and the matrix product ÿ'(t) = [_ ÿ2(t) ]-[ -7 sin(7t) -7 cos(7t)] 0 -7
This is the first part of a two-part problem. Let Enter your answers in terms of the variable t. ÿ₁ (t) = P = Enter your answers in terms of the variable t. cos(7t) sin(7t) 0 ja(t) = a. Show that 7₁ (t) is a solution to the system ÿ' = Pý by evaluating derivatives and the matrix product Fí(t) = [_ Jū1 (t) ]-[ 0 b. Show that y₂ (t) is a solution to the system ÿ' = Pÿ by evaluating derivatives and the matrix product ÿ'(t) = [_ ÿ2(t) ]-[ -7 sin(7t) -7 cos(7t)] 0 -7
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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Transcribed Image Text:This is the first part of a two-part problem.
Let
Enter your answers in terms of the variable t.
ÿ₁ (t) =
=
Enter your answers in terms of the variable t.
P =
07
-7
cos(7t), 7₂(t)
a. Show that y₁ (t) is a solution to the system ÿ' = Pÿ by evaluating derivatives and the matrix product
7
K{(1) = [-J|52(1)
3í(t)
ÿ₁(t)
-7
=
-7 sin(7t)
[-7 cos(7t)
b. Show that y₂ (t) is a solution to the system ÿ' = Pý by evaluating derivatives and the matrix product
0
ÿ2(t) = [_ ; √| ₂(t
1-1
=
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