A matrix function A and a vector function b are given. Write the system of equations corresponding to x'= A(t) x + b (t). 4 0 -2 A(t) -4 -3 3 b(t = 4 e 2 0 -2 -3t e -3t a) O *;=4x, - 2x, + e, x;--4x,- 3%,+ 3x,+4 e", x;=2x, - 2x, +e*] -3t b) O *;=4x, - 2%, -é, x;--4x,- 3%,+3x,-4e", x;=2x, - 2x,-e*] -31 c) O *;=4 - 2%,-é, -4x + 3x, + 3x,+4 e", x=2%, + 2x, + e*| -3t d) O *;-4x, - 4%, +2x,-e, x;--3x,-4 e", *-2x, + 3x,- 2x,-e -31 e) O *-4* -4%, + 2 *,+e, x;=-3x, +4 e", --2x, + 3%,- 2x,+e f) O None of the above.
A matrix function A and a vector function b are given. Write the system of equations corresponding to x'= A(t) x + b (t). 4 0 -2 A(t) -4 -3 3 b(t = 4 e 2 0 -2 -3t e -3t a) O *;=4x, - 2x, + e, x;--4x,- 3%,+ 3x,+4 e", x;=2x, - 2x, +e*] -3t b) O *;=4x, - 2%, -é, x;--4x,- 3%,+3x,-4e", x;=2x, - 2x,-e*] -31 c) O *;=4 - 2%,-é, -4x + 3x, + 3x,+4 e", x=2%, + 2x, + e*| -3t d) O *;-4x, - 4%, +2x,-e, x;--3x,-4 e", *-2x, + 3x,- 2x,-e -31 e) O *-4* -4%, + 2 *,+e, x;=-3x, +4 e", --2x, + 3%,- 2x,+e f) O None of the above.
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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![A matrix function A and a vector function b are given. Write the system of equations corresponding to x'= A(t) x + b (t).
4
0 -2
A(t)
-4 -3
3
b(t) = 4 e
2
0 -2
-3t
e
-3t
a) O *;=4x, - 2x, + e, x;--4x,- 3%,+ 3x,+4 e", x;=2x, - 2x, +e*]
-3t
b) O *;=4x, - 2%, -é, x;--4x,- 3%,+3x,-4e", x;=2x, - 2x,-e*]
-31
c) O *;=4 - 2%,-é, -4x + 3x, + 3x,+4 e", x=2%, + 2x, + e*|
-3t
d) O *; -4x, -4x, +2x,- d', x;--3x,-4 e",
*-2x, + 3x,- 2x,-e
-31
e) O *-4* -4%, + 2 *,+e, x;=-3x, +4 e", --2x, + 3%,- 2x,+e
f) O None of the above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88afae02-80d5-49da-ad82-a7933e6f4445%2Fbe4badf9-5ac1-4db6-b8b4-2fdc95048623%2Fytbxgfj_processed.png&w=3840&q=75)
Transcribed Image Text:A matrix function A and a vector function b are given. Write the system of equations corresponding to x'= A(t) x + b (t).
4
0 -2
A(t)
-4 -3
3
b(t) = 4 e
2
0 -2
-3t
e
-3t
a) O *;=4x, - 2x, + e, x;--4x,- 3%,+ 3x,+4 e", x;=2x, - 2x, +e*]
-3t
b) O *;=4x, - 2%, -é, x;--4x,- 3%,+3x,-4e", x;=2x, - 2x,-e*]
-31
c) O *;=4 - 2%,-é, -4x + 3x, + 3x,+4 e", x=2%, + 2x, + e*|
-3t
d) O *; -4x, -4x, +2x,- d', x;--3x,-4 e",
*-2x, + 3x,- 2x,-e
-31
e) O *-4* -4%, + 2 *,+e, x;=-3x, +4 e", --2x, + 3%,- 2x,+e
f) O None of the above.
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