Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Prove the General Solution Theorem for linear systems. THEOREM OF THE GENERAL SOLUTION. Let x1(t),…,xn(t) be n linearly independent solutions of the system X´=A(t)X. The general solution of the system is: x(t)=c1x1(t)+⋯+cnxn (t) Where c1 ,…,cn are arbitrary constants that will satisfy the initial condition of the problem if necessary. Please be as clear as possible and use definitions if necessary

Prove the General Solution Theorem for linear systems. THEOREM OF THE GENERAL SOLUTION. Let x1(t),…,xn(t) be n linearly independent solutions of the system X´=A(t)X. The general solution of the system is: x(t)=c1x1(t)+⋯+cnxn (t) Where c1 ,…,cn are arbitrary constants that will satisfy the initial condition of the problem if necessary. Please be as clear as possible and use definitions if necessary

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.2: Systems Of Linear Equations In Several Variables
Problem 49E
See similar textbooks
icon
Related questions
Question

Prove the General Solution Theorem for linear systems.

THEOREM OF THE GENERAL SOLUTION. Let x1(t),…,xn(t) be n linearly independent solutions of the system X´=A(t)X. The general solution of the system is:

x(t)=c1x1(t)+⋯+cnxn (t)

Where c1 ,…,cn are arbitrary constants that will satisfy the initial condition of the problem if necessary.

Please be as clear as possible and use definitions if necessary.Thank you

Expert Solution
steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS