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- 3 -1 x'(t) = x(t), 5 - 1 - 4 x(0) = (b

- 3 -1 x'(t) = x(t), 5 - 1 - 4 x(0) = (b

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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- 6t 5 e -bt sin (t) – 5 e-6t cos (t) (a) x(t) = - 10 e -6t sin (t) (Use parentheses to clearly denote the argument of each function.) - 6(t - T) e cos (t) (b) x(t) = - 6(t - T) e (cos (t) – sin (t)) (Use parentheses to clearly denote the argument of each function.) - 6(t + 2x) (2 cos (t) – 3 sin (t)) e (c) x(t) = - 6(t + 2x)( cos (t) + 5 sin (t)) e (Use parentheses to clearly denote the argument of each function.) 31- 6t( cos (t)) e (d) x(t) = 3n - 6t, e "(sin (t) – cos (t)) (Use parentheses to clearly denote the argument of each function.)
Transcribed Image Text:- 6t 5 e -bt sin (t) – 5 e-6t cos (t) (a) x(t) = - 10 e -6t sin (t) (Use parentheses to clearly denote the argument of each function.) - 6(t - T) e cos (t) (b) x(t) = - 6(t - T) e (cos (t) – sin (t)) (Use parentheses to clearly denote the argument of each function.) - 6(t + 2x) (2 cos (t) – 3 sin (t)) e (c) x(t) = - 6(t + 2x)( cos (t) + 5 sin (t)) e (Use parentheses to clearly denote the argument of each function.) 31- 6t( cos (t)) e (d) x(t) = 3n - 6t, e "(sin (t) – cos (t)) (Use parentheses to clearly denote the argument of each function.)
Find the solution to the given system that satisfies the given initial condition. - 3 x'(t) = 5 - 1 x(t), - 1 - 4 (a) x(0) = (b) x(t) = 1 (c) x( - 27) = (d) x(t/4) = ..... (a) x(t) = (Use parentheses to clearly denote the argument of each function.)
Transcribed Image Text:Find the solution to the given system that satisfies the given initial condition. - 3 x'(t) = 5 - 1 x(t), - 1 - 4 (a) x(0) = (b) x(t) = 1 (c) x( - 27) = (d) x(t/4) = ..... (a) x(t) = (Use parentheses to clearly denote the argument of each function.)
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