1. What is a fundamental solution set for the system x' = 21 -9 -21 49 ] x?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Can you pelase solve problem 1

1. What is a fundamental solution set for the system x'
=
2. Solve the initial value problem x' =
1
3. Find the general solution for x' [
√3
4. Find the general solution for x'
=
3 -1 0
0
0 2
1
1
0
5. Find the general solution for x'
=
√√3
21 49
-9-21
x x(0)
[] x + [√ ve + ].
-5
[ ²2 ] x + [
1 -2
]
H
sec(t)
-4 2
t
2² ²³ ] x + [ 2² ² + ₁ ] · ¹ > 0
x+
1
2 -1
2t
+4
t> 0.
x?
] ₁ 1 <t <T.
Transcribed Image Text:1. What is a fundamental solution set for the system x' = 2. Solve the initial value problem x' = 1 3. Find the general solution for x' [ √3 4. Find the general solution for x' = 3 -1 0 0 0 2 1 1 0 5. Find the general solution for x' = √√3 21 49 -9-21 x x(0) [] x + [√ ve + ]. -5 [ ²2 ] x + [ 1 -2 ] H sec(t) -4 2 t 2² ²³ ] x + [ 2² ² + ₁ ] · ¹ > 0 x+ 1 2 -1 2t +4 t> 0. x? ] ₁ 1 <t <T.
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