Given the linear differential system x' = Ax with 5 4-1-22-3 A= u Determine if u, v form a fundamental solution set. If so, give the general solution to the system. ellt -2 e¹¹t 11t 0 -2 e¹ 4 ell
Given the linear differential system x' = Ax with 5 4-1-22-3 A= u Determine if u, v form a fundamental solution set. If so, give the general solution to the system. ellt -2 e¹¹t 11t 0 -2 e¹ 4 ell
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
Related questions
Question
Transcribed Image Text:Given the linear differential system x ' = Ax with
a)
Determine if u, v form a fundamental solution set. If so, give the general solution to the system.
-22
0
O
1
b) Not a fundamental solution set.
ܚ
ll
-2ell:
C
ܚ
ܢ
+C
11:
-2:11
e¹¹²
-2e
11 z
+
+
e
-e
3
11
ܕ2ell-
+C
sell
-2e11:
4ell:
ܕ411
ܕ2ell-
A=
u=
ܐ
ܕ2ell-
5 -3
11 z
܂
v=
ܕܐ2el-
411
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage