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Consider the system of differential equations dy 6x - 2y, dt da dt The coefficient matrix [ eigenvalues are 10 and 5. Select the option that gives the general solution of this system. Select one: O O []=[(-2₂2] =a =A =α -2 6 = -] =a -2x +9y. 2] elot + B elot + ß + D---- = előt has eigenvectors [1] [2] est sin (10t) + B cos (10t) + B est est [1] H cos(5t) sin (5t) [4] and [] and the corresponding

Consider the system of differential equations dy 6x - 2y, dt da dt The coefficient matrix [ eigenvalues are 10 and 5. Select the option that gives the general solution of this system. Select one: O O []=[(-2₂2] =a =A =α -2 6 = -] =a -2x +9y. 2] elot + B elot + ß + D---- = előt has eigenvectors [1] [2] est sin (10t) + B cos (10t) + B est est [1] H cos(5t) sin (5t) [4] and [] and the corresponding

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 system of differential equations dy dt dx dt 1 O The coefficient matrix Select one: O 6 -2 eigenvalues are 10 and 5. Select the option that gives the general solution of this system. 6x – 2y, - I I - elot = 1 + -2x +9y. - -2 9 elot + B [ ] = a[1] ¹² + 8 [¹₂] ₁² 2 elot est - [:]-[₁] has eigenvectors [²] [¹₂] M [42] est sin(106) + [2] B cos(10t) + B 2 [1] cos (5t) sin (5t) [22] and [3] and the corresponding
Transcribed Image Text:Consider the system of differential equations dy dt dx dt 1 O The coefficient matrix Select one: O 6 -2 eigenvalues are 10 and 5. Select the option that gives the general solution of this system. 6x – 2y, - I I - elot = 1 + -2x +9y. - -2 9 elot + B [ ] = a[1] ¹² + 8 [¹₂] ₁² 2 elot est - [:]-[₁] has eigenvectors [²] [¹₂] M [42] est sin(106) + [2] B cos(10t) + B 2 [1] cos (5t) sin (5t) [22] and [3] and the corresponding
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