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Solve the system of differential equations x' = 31x + 56y ly' = – 16x – 29y - - x(0) = 7, y(0) = - 4 |

Solve the system of differential equations x' = 31x + 56y ly' = – 16x – 29y - - x(0) = 7, y(0) = - 4 |

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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Solve the system of differential equations Sx' = 31x + 56y 16x 29y - x(0) = 7, y(0) - 4 The lesser of the two eigenvalues is -1 Its corresponding eigevector is (a, 4). What is a? a = -7 The greater of the two eigenvalues is 3 Its corresponding eigevector is ( – 2, b). What is b? b = 1 The solution to the system is x(t) = -7et – 2e-3t y(t) =| 4et+ e3t
Transcribed Image Text:Solve the system of differential equations Sx' = 31x + 56y 16x 29y - x(0) = 7, y(0) - 4 The lesser of the two eigenvalues is -1 Its corresponding eigevector is (a, 4). What is a? a = -7 The greater of the two eigenvalues is 3 Its corresponding eigevector is ( – 2, b). What is b? b = 1 The solution to the system is x(t) = -7et – 2e-3t y(t) =| 4et+ e3t
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