(a) For each of the matrices A below find a general solution to the system x'(t) = Ax(t) 3/4` 3 (-1 ³/4) 4- (121) -5 3 (i) A = (ii) A= (b) Solve each of the initial value problems below 1 3 -3 (i) x'(t) = (², ³) x(t), x(0) = = (³)_ (ii) x'(t) = (2 −7³) x(t), x(0) = (-10) 3 1
(a) For each of the matrices A below find a general solution to the system x'(t) = Ax(t) 3/4` 3 (-1 ³/4) 4- (121) -5 3 (i) A = (ii) A= (b) Solve each of the initial value problems below 1 3 -3 (i) x'(t) = (², ³) x(t), x(0) = = (³)_ (ii) x'(t) = (2 −7³) x(t), x(0) = (-10) 3 1
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) For each of the matrices A below find a general solution to the system x'(t) = Ax(t)
3
=
(= 1 ³/4) (ii) A =
4- (121)
3
(i) A
(b) Solve each of the initial value problems below
1
-3
(i) x'(t) = (² i) x(t), x(0) =
= (³)_ (ii) x'(t) = (2 −7³) x(t), x(0) = (-10)
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd285342-6d44-4465-a8e0-815a2c12e9bc%2Fd6f986b2-5930-45b1-9eba-17eaf8555fc2%2Fcrgran_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) For each of the matrices A below find a general solution to the system x'(t) = Ax(t)
3
=
(= 1 ³/4) (ii) A =
4- (121)
3
(i) A
(b) Solve each of the initial value problems below
1
-3
(i) x'(t) = (² i) x(t), x(0) =
= (³)_ (ii) x'(t) = (2 −7³) x(t), x(0) = (-10)
3
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