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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
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 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 =
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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