3) This is the first part of a two-part problem. Let P = 7₁ (t) = [_(f cos(2t) (sin(2t)) 72(t) = 72 (t) = -2 sin(2t) -2 cos(2t). a. Show that ₁ (t) is a solution to the system y' = Py by evaluating derivatives and the matrix product 02 í (t) = - [ 2 ] 1 (1) Enter your answers in terms of the variable t. b. Show that ₂ (t) is a solution to the system y' = Py by evaluating derivatives and the matrix product 72(t) = [_23 [232(0) 72 (t) -2 Enter your answers in terms of the variable t. [23]
3) This is the first part of a two-part problem. Let P = 7₁ (t) = [_(f cos(2t) (sin(2t)) 72(t) = 72 (t) = -2 sin(2t) -2 cos(2t). a. Show that ₁ (t) is a solution to the system y' = Py by evaluating derivatives and the matrix product 02 í (t) = - [ 2 ] 1 (1) Enter your answers in terms of the variable t. b. Show that ₂ (t) is a solution to the system y' = Py by evaluating derivatives and the matrix product 72(t) = [_23 [232(0) 72 (t) -2 Enter your answers in terms of the variable t. [23]
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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