A matrix function A and a vector function b are given. Write the system of equations corresponding to x ' = A(t) x + b (?). -2 0 A(t) - b(t) - -4 2 -2: a) O [*;--2, -4x,-", x-2%,- ] 3t b) O *--2x, - 4x, +e", x;=2x,+ e] e) O [x; --4x, + 2 %, + o", *;--2x, + e*] d) O *--2x, -", *--4x, + 2x, - e ] [*;--2x, +e", x;--4 x, + 2 x, + 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
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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).
3:
-2 0
A(t) =
b(t) =
-4 2
-2:
a) O [*--2, -4x,- ", -2x,-*]
31
e
b) O r;--2x, -4%,+e", x;=2x, +e|
e) O [--4*, +2%, + e". *--2, + e *]
31
d) O [*;=-2%, - ", *--4%, + 2x,- e*"]
31
*-2, + ", --4, +2%, + e *]
f) O None of the above.
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). 3: -2 0 A(t) = b(t) = -4 2 -2: a) O [*--2, -4x,- ", -2x,-*] 31 e b) O r;--2x, -4%,+e", x;=2x, +e| e) O [--4*, +2%, + e". *--2, + e *] 31 d) O [*;=-2%, - ", *--4%, + 2x,- e*"] 31 *-2, + ", --4, +2%, + e *] f) O None of the above.
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