- [8₂]x [10 X 3. If X' =
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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I need help on 3 and 4
![§4.5 HOMOGENEOUS LINEAR SYSTEMS
Find the general solution of the given homogeneous linear system.
x' = x + 2y
y = 4x + 3y
1.
2.
3. If X' =
4.
I' -4x + 2y
{=++3}
5
y'
==
22
+ 2y
7.
{
5. X'=
8.
6. X'=
-
x = x+y=2
y' = 2y
z =y-z
[10 -5
8-12]
0
1 2 1
-1
OT
0
123
J x' = 6x -y 1
y = 5x + 2y
X
r=5c+y \
2x + 321
X
X
PROBLEM SET 4.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9580d8a9-6eaf-4c2d-ab69-591b10f22820%2Feff95010-f33a-4593-b836-2fc724262e6c%2Fk3bm7sq_processed.png&w=3840&q=75)
Transcribed Image Text:§4.5 HOMOGENEOUS LINEAR SYSTEMS
Find the general solution of the given homogeneous linear system.
x' = x + 2y
y = 4x + 3y
1.
2.
3. If X' =
4.
I' -4x + 2y
{=++3}
5
y'
==
22
+ 2y
7.
{
5. X'=
8.
6. X'=
-
x = x+y=2
y' = 2y
z =y-z
[10 -5
8-12]
0
1 2 1
-1
OT
0
123
J x' = 6x -y 1
y = 5x + 2y
X
r=5c+y \
2x + 321
X
X
PROBLEM SET 4.5
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