Given the correct eigenvalues above and the eigenvectors below, what is the general solution of the system: K₁ = (²₁) x² - (- ₁²) X 1 2 X' 2 cos2t X = C₁ (22) e¹ + C₂ (co2) tet -sin2t) )e² sin2t O A (Cost) et + c₂ (sin2t) tet -sin2t. X = ₁ X = C₁ O B 1 (Cost) et + C₂ (cos2t) et 2 -sin2t sin2t. cos2t X = C₁ (0522) e² + c₂ (Sin2t) et -sin2t cos2t) O D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Given the correct eigenvalues above and the eigenvectors below, what is
the general solution of the system:
K₁ = (²₁) x² - (- ₁²) X
1
2
X'
2
cos2t
X = C₁ (22) e¹ + C₂ (co2) tet
-sin2t) )e²
sin2t
O A
(Cost) et + c₂ (sin2t) tet
-sin2t.
X = ₁
X = C₁
O B
1 (Cost) et + C₂ (cos2t) et
2
-sin2t
sin2t.
cos2t
X = C₁ (0522) e² + c₂ (Sin2t) et
-sin2t
cos2t)
O D
Transcribed Image Text:Given the correct eigenvalues above and the eigenvectors below, what is the general solution of the system: K₁ = (²₁) x² - (- ₁²) X 1 2 X' 2 cos2t X = C₁ (22) e¹ + C₂ (co2) tet -sin2t) )e² sin2t O A (Cost) et + c₂ (sin2t) tet -sin2t. X = ₁ X = C₁ O B 1 (Cost) et + C₂ (cos2t) et 2 -sin2t sin2t. cos2t X = C₁ (0522) e² + c₂ (Sin2t) et -sin2t cos2t) O D
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