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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

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) =
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,