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Consider the system Sa' = 3x – y / = x – 2y What differential equation does r solve? a" – 2x' + 6x = 0 O a" – a' – 5x = 0 O a" – 5x = 0 O a' - 3x = 0 O a" – 4x' + 5x = 0

Consider the system Sa' = 3x – y / = x – 2y What differential equation does r solve? a" – 2x' + 6x = 0 O a" – a' – 5x = 0 O a" – 5x = 0 O a' - 3x = 0 O a" – 4x' + 5x = 0

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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Consider the system (æ' = 3x – y ly = = – 2y - What differential equation does x solve? a" – 2x' + 6x = 0 a" – a' – 5x = 0 a" – 5x = 0 O a' – 3x = 0 a" – 4x' + 5x = 0
Transcribed Image Text:Consider the system (æ' = 3x – y ly = = – 2y - What differential equation does x solve? a" – 2x' + 6x = 0 a" – a' – 5x = 0 a" – 5x = 0 O a' – 3x = 0 a" – 4x' + 5x = 0
Solve the system Sa' (t) = x(t) +t ly (t) = -y(t) and find æ(t). O x(t) = #(0)e -t O x(t) = (x(0) – 1)e +t +1 O x(t) = #(0)e O x(t) = (x(0) + 1)e – t – 1 O 2(t) = x(0)e
Transcribed Image Text:Solve the system Sa' (t) = x(t) +t ly (t) = -y(t) and find æ(t). O x(t) = #(0)e -t O x(t) = (x(0) – 1)e +t +1 O x(t) = #(0)e O x(t) = (x(0) + 1)e – t – 1 O 2(t) = x(0)e
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