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
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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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
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