A matrix function A and a vector function b are given. Write the system of equations corresponding to x' = A(t) x + b (t). 2 -3t t-3 1 A(t) = b(t): -3 t- 2 21 4t 1 a) O x-fx, +3+x, + (*– 3) x,- 1, x;--3x, + (+– 2) x,- 2 tx,- 1, x;=41x, +x,+tx, b) O ;=fx, - 3%,+4 tx, - 1, x=-3*x, - (– 2) x, + x, – 1, x;=-(*- 3) x, + 2*x, + tx, c) O *;=*x, - 3tx- (1- 3) *,+ 1, x=-3x, + (* – 2) x, – 2*x, +1, x;-4+x, +x,-t% d) O *;=fx, +3tx, +(*- 3) x, – 1, *=-3x, – (*– 2) *, + 2 *x, + 1, x;=4 *x, - x, -1%, e) O *;=fx, - 3x,+ 4 tx, + 1, x';=-3+x, + (*- 2) %, + x, + 1, x;=(1- 3) x, + 2 tx, + tx, 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). 2 -3t t-3 1 A(t) = b(t): -3 t- 2 21 4t 1 a) O x-fx, +3+x, + (*– 3) x,- 1, x;--3x, + (+– 2) x,- 2 tx,- 1, x;=41x, +x,+tx, b) O ;=fx, - 3%,+4 tx, - 1, x=-3*x, - (– 2) x, + x, – 1, x;=-(*- 3) x, + 2*x, + tx, c) O *;=*x, - 3tx- (1- 3) *,+ 1, x=-3x, + (* – 2) x, – 2*x, +1, x;-4+x, +x,-t% d) O *;=fx, +3tx, +(*- 3) x, – 1, *=-3x, – (*– 2) *, + 2 *x, + 1, x;=4 *x, - x, -1%, e) O *;=fx, - 3x,+ 4 tx, + 1, x';=-3+x, + (*- 2) %, + x, + 1, x;=(1- 3) x, + 2 tx, + tx, 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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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).
2 -3t t-3
1
A(t) =
b(t):
-3 t- 2
21
4t 1
a) O x-fx, +3+x, + (*– 3) x,- 1, x;--3x, + (+– 2) x,- 2 tx,- 1, x;=41x, +x,+tx,
b) O ;=fx, - 3%,+4 tx, - 1, x=-3*x, - (– 2) x, + x, – 1, x;=-(*- 3) x, + 2*x, + tx,
c) O *;=x, - 3tx- (1- 3) *,+ 1, x=-3x, + (* – 2) x, – 2*x, +1, x;-4+x, +x,-t%
d) O x=fx, +3+x, + (*– 3) x, – 1, x,--3x,- (*- 2) x, + 2 tx,+ 1, x;=4ix, - x,-",
e) O *;=fx, - 3x,+ 4 tx, + 1, x';=-3+x, + (*- 2) %, + x, + 1, x;=(1- 3) x, + 2 tx, + tx,
f) O None of the above.
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