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Given the initial conditions 0.80 {x,} = 0.50 - 0.00 (x,} = 0.00 %3D The solution {x(t)} of the following system: 10.00 0.00 50.00 20.00 {x(t} + {x(t)} = 0 0.00 2.00 20.00 20.00 is, (hint: w,1 = 1.54 rad/s and w,,=3.55 rad/s) %3D

Given the initial conditions 0.80 {x,} = 0.50 - 0.00 (x,} = 0.00 %3D The solution {x(t)} of the following system: 10.00 0.00 50.00 20.00 {x(t} + {x(t)} = 0 0.00 2.00 20.00 20.00 is, (hint: w,1 = 1.54 rad/s and w,,=3.55 rad/s) %3D

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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Given the initial conditions 0.80 0.00 {x) = 0.50/ 0.00, The solution {x(f)} of the following system: 10.00 0.00 50.00 20.00 {x(t}}+ {x(t)} = 0 0.00 2.00, 20.00 20.00 is, (hint: w,1= 1.54 rad/s and w,,=3.55 rad/s) (x,() -0.76 cos(1.54 t)+ (-0.65) 1 0.26 cos(3.55 t) Joos(3.5 = 1.15 (x,() -0.76 (1.15) 1 sin(1.54 f)+(-0.65) 0.26 sin(3.55 t) None (x,() -0.76 = (-0.65) sin(1.54 f)+ (1.15) 0.26 sin(3.55 t) -0.76 0.65 1 cos(1.54 )+(1.15) 0.26 cos(3.55 t)
Transcribed Image Text:Given the initial conditions 0.80 0.00 {x) = 0.50/ 0.00, The solution {x(f)} of the following system: 10.00 0.00 50.00 20.00 {x(t}}+ {x(t)} = 0 0.00 2.00, 20.00 20.00 is, (hint: w,1= 1.54 rad/s and w,,=3.55 rad/s) (x,() -0.76 cos(1.54 t)+ (-0.65) 1 0.26 cos(3.55 t) Joos(3.5 = 1.15 (x,() -0.76 (1.15) 1 sin(1.54 f)+(-0.65) 0.26 sin(3.55 t) None (x,() -0.76 = (-0.65) sin(1.54 f)+ (1.15) 0.26 sin(3.55 t) -0.76 0.65 1 cos(1.54 )+(1.15) 0.26 cos(3.55 t)
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