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Solve the initial value problem. XI= [ ³3 -13] X, X (0) x(0) = [] 5 [9 cos(8t) - 9 x (t) = [5 cos (8t) + 5 sin(8t)) Xt cos(8t) x (1) ox(1) X t x (₁) X t = e²t = e2t - [9 cos(8t) — 9 sin(8t) cos(8t) + sin(8t) cos(8t) 8 sin(8t)] 5 cos(8t) in (8)] - [9 cos(8t) – 7 sin(8t) [5 cos(8t) + 5 sin(8t)]

Solve the initial value problem. XI= [ ³3 -13] X, X (0) x(0) = [] 5 [9 cos(8t) - 9 x (t) = [5 cos (8t) + 5 sin(8t)) Xt cos(8t) x (1) ox(1) X t x (₁) X t = e²t = e2t - [9 cos(8t) — 9 sin(8t) cos(8t) + sin(8t) cos(8t) 8 sin(8t)] 5 cos(8t) in (8)] - [9 cos(8t) – 7 sin(8t) [5 cos(8t) + 5 sin(8t)]

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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Solve the initial value problem. - XI= 13] 1x. x(0)=[] X, X 3 5 [9 - 9 sin(8t)] x (t) = [(5 cos(8t) + 5 sin(8t). x (1) x(1) = X t x (t) = X e2t e2t [9 cos(8t) - 9 sin (8t)] cos(8t) + sin(8t) [cos(8t) 8 sin(8t)] 5 cos(8t) [9 cos(8t) - 7 sin(8t)] 5 cos(8t) + 5 sin(8t)]
Transcribed Image Text:Solve the initial value problem. - XI= 13] 1x. x(0)=[] X, X 3 5 [9 - 9 sin(8t)] x (t) = [(5 cos(8t) + 5 sin(8t). x (1) x(1) = X t x (t) = X e2t e2t [9 cos(8t) - 9 sin (8t)] cos(8t) + sin(8t) [cos(8t) 8 sin(8t)] 5 cos(8t) [9 cos(8t) - 7 sin(8t)] 5 cos(8t) + 5 sin(8t)]
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