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Solve the system of differential equations 29х — 50y 15х — 26у x(0) = – 13, y(0) = – 8 The lesser of the two eigenvalues is Its corresponding eigevector is (a, - 3). What is a? a = The greater of the two eigenvalues is Its corresponding eigevector is (2, b). What is b? b The solution to the system is x(t) = y(t) =

Solve the system of differential equations 29х — 50y 15х — 26у x(0) = – 13, y(0) = – 8 The lesser of the two eigenvalues is Its corresponding eigevector is (a, - 3). What is a? a = The greater of the two eigenvalues is Its corresponding eigevector is (2, b). What is b? b The solution to the system is x(t) = y(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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Solve the system of differential equations

{x'=29x−50yy'=15x−26y{x′=29x-50yy′=15x-26y

x(0)=−13,  y(0)=−8x(0)=-13,  y(0)=-8

The lesser of the two eigenvalues is


Its corresponding eigevector is ⟨a,−3⟩⟨a,-3⟩. What is aa?
a=a=

The greater of the two eigenvalues is


Its corresponding eigevector is ⟨2,b⟩⟨2,b⟩. What is bb?
b=b=

The solution to the system is

x(t)x(t) =   

y(t)y(t) =   

Solve the system of differential equations 29х — 50y 15х — 26у x(0) = – 13, y(0) = – 8 The lesser of the two eigenvalues is Its corresponding eigevector is (a, - 3). What is a? a = The greater of the two eigenvalues is Its corresponding eigevector is (2, b). What is b? b The solution to the system is x(t) = y(t) =
Transcribed Image Text:Solve the system of differential equations 29х — 50y 15х — 26у x(0) = – 13, y(0) = – 8 The lesser of the two eigenvalues is Its corresponding eigevector is (a, - 3). What is a? a = The greater of the two eigenvalues is Its corresponding eigevector is (2, b). What is b? b The solution to the system is x(t) = y(t) =
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