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Consider the following nonhomogeneous linear system: x₁ = 3x₁ + 4x₂2 + 10 cost x₂ = 3x₁ + 2x₂ 5. For the initial value of x (0) = [0, 0], which of the following is the solution to the system of differential equation? a. x = b. x = C. x = 60 d. x = 59 60 59 240 259 180 259 4|73|N o6t + e6t eot + + 15 7 15 7 +1 15 7 15 7 = [1²] 6t+ [3³] e + e | -t+ + 45 37 + 105 37 45 37 105 37 45 37 105 37 cost + 45 37 105 37 sint + 85 37 cos t - cost + 75 37 85 37 ++ |-75 37 85 37 sin t 75 37 sin t cos t

Consider the following nonhomogeneous linear system: x₁ = 3x₁ + 4x₂2 + 10 cost x₂ = 3x₁ + 2x₂ 5. For the initial value of x (0) = [0, 0], which of the following is the solution to the system of differential equation? a. x = b. x = C. x = 60 d. x = 59 60 59 240 259 180 259 4|73|N o6t + e6t eot + + 15 7 15 7 +1 15 7 15 7 = [1²] 6t+ [3³] e + e | -t+ + 45 37 + 105 37 45 37 105 37 45 37 105 37 cost + 45 37 105 37 sint + 85 37 cos t - cost + 75 37 85 37 ++ |-75 37 85 37 sin t 75 37 sin t cos t

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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Consider the following nonhomogeneous linear system: xi = 3x1 + 4x2 + 10 cos t x2 = 3x1 + 2x2 5. For the initial value of x(0) = [0,01, which of the following is the solution to the system of differential equation? [60 15 45 85 59 7 + 15 37 37 ,6t e 6t cos t + sin t 75 a. x = 60 105 59 [240 7 37 37 15 45 85 259 b. x = |180 7 37 37 e6t + 15 e-t + cos t + sin t 75 105 259 7 37 37 45 85 e6t + 1 7 37 x = sint + 37 cos t с. 105 75 7 37 37 45 31 37 d. x = 6t + |105 cos t 37 +INMI7
Transcribed Image Text:Consider the following nonhomogeneous linear system: xi = 3x1 + 4x2 + 10 cos t x2 = 3x1 + 2x2 5. For the initial value of x(0) = [0,01, which of the following is the solution to the system of differential equation? [60 15 45 85 59 7 + 15 37 37 ,6t e 6t cos t + sin t 75 a. x = 60 105 59 [240 7 37 37 15 45 85 259 b. x = |180 7 37 37 e6t + 15 e-t + cos t + sin t 75 105 259 7 37 37 45 85 e6t + 1 7 37 x = sint + 37 cos t с. 105 75 7 37 37 45 31 37 d. x = 6t + |105 cos t 37 +INMI7
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