-X+5 SY STEM= ** -*+Sy SY STEM = + bt) -t

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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Question

on the basis of this question, find a general solution

x= -x+
SY STEM =
y'= -y
(2)()=1at
a
ctdt
-t
b-al
and A
d -C
Transcribed Image Text:x= -x+ SY STEM = y'= -y (2)()=1at a ctdt -t b-al and A d -C
MATH • ADVANCED-MATH
evaluete the system and show that the
vecotrfunction (2) is a solution of the system if and
only if the criteria for A (the last line)
STEM =
+ dt.
and
Expert Answer O
Step1
а)
This is a problem of linear transformation.
Step2
b)
system: x'= -x+ 5Y
y'= -Y
ie
--
et
vis the somton,
Hen
1-
e
etdt
atetlet
6) - ()-
()
A
9) +
+ A
t.
d -e - dt
(2)
+ A
(2)
()
*() -6)
A
-P
Transcribed Image Text:MATH • ADVANCED-MATH evaluete the system and show that the vecotrfunction (2) is a solution of the system if and only if the criteria for A (the last line) STEM = + dt. and Expert Answer O Step1 а) This is a problem of linear transformation. Step2 b) system: x'= -x+ 5Y y'= -Y ie -- et vis the somton, Hen 1- e etdt atetlet 6) - ()- () A 9) + + A t. d -e - dt (2) + A (2) () *() -6) A -P
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