Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)Þ(0)¯¯ 1x to find a solution satisfying the initial conditions. x' = -5 -2 |x, x(0)= 25 5 1 - 5t 5e A. (t)= - 5t -2e -2e5t - 5t 5e B. (t): 2 cos 5t - 2 sin 5t - 5 cos 5t + 5 sin 5t 5 cos 5t + 5 sin 5t O © C. (t)= 5 cos 5t 2 sin 5t - 2 cos 5t 2 sin 5t + 5 cos 5t - 5 sin 5t 5+2t O D. (t) = 1-2e-5t 1+2t -5-2e5t Find a solution satisfying the given initial condition. x(t) = ☐ (Use integers or fractions for any numbers in the expression.) ...
Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)Þ(0)¯¯ 1x to find a solution satisfying the initial conditions. x' = -5 -2 |x, x(0)= 25 5 1 - 5t 5e A. (t)= - 5t -2e -2e5t - 5t 5e B. (t): 2 cos 5t - 2 sin 5t - 5 cos 5t + 5 sin 5t 5 cos 5t + 5 sin 5t O © C. (t)= 5 cos 5t 2 sin 5t - 2 cos 5t 2 sin 5t + 5 cos 5t - 5 sin 5t 5+2t O D. (t) = 1-2e-5t 1+2t -5-2e5t Find a solution satisfying the given initial condition. x(t) = ☐ (Use integers or fractions for any numbers in the expression.) ...
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...
Question
![Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)Þ(0)¯¯ 1x to find a solution satisfying the initial conditions.
x' =
-5 -2
|x, x(0)=
25 5
1
- 5t
5e
A. (t)=
- 5t
-2e
-2e5t
- 5t
5e
B. (t):
2 cos 5t
- 2 sin 5t
- 5 cos 5t + 5 sin 5t 5 cos 5t + 5 sin 5t
O
© C. (t)=
5 cos 5t 2 sin 5t - 2 cos 5t
2 sin 5t + 5 cos 5t
- 5 sin 5t
5+2t
O D. (t) =
1-2e-5t
1+2t -5-2e5t
Find a solution satisfying the given initial condition.
x(t) = ☐
(Use integers or fractions for any numbers in the expression.)
...](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ae1bb18-ef65-433d-a0dc-aafdea4542d4%2F16b900dd-be82-4759-a543-ee7ffbbdcb23%2F1st97ii_processed.png&w=3840&q=75)
Transcribed Image Text:Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)Þ(0)¯¯ 1x to find a solution satisfying the initial conditions.
x' =
-5 -2
|x, x(0)=
25 5
1
- 5t
5e
A. (t)=
- 5t
-2e
-2e5t
- 5t
5e
B. (t):
2 cos 5t
- 2 sin 5t
- 5 cos 5t + 5 sin 5t 5 cos 5t + 5 sin 5t
O
© C. (t)=
5 cos 5t 2 sin 5t - 2 cos 5t
2 sin 5t + 5 cos 5t
- 5 sin 5t
5+2t
O D. (t) =
1-2e-5t
1+2t -5-2e5t
Find a solution satisfying the given initial condition.
x(t) = ☐
(Use integers or fractions for any numbers in the expression.)
...
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