Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) 52 25 - 3 2 x' = Find a fundamental matrix for the given system. Select the correct answer below. O C. Þ(t)= |x, x(0) = Þ(t)= e - e 3t 3t e7t e 7t 5+7te³t 3-7e7t 2+3te 7-3e7t 7t Find a solution satisfying the given initial condition. x(t) = (Use integers or fractions for any numbers in the expression.) Xo to find a solution satisfying the initial conditions. O B. O D. Þ(t)= (t)= 5 e 2 e - 5t - 5t - 3t e - e 7t - 2e -5 e ²t - e e 7t 5t 3t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
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Question
Find a fundamental matrix of the following system, and then apply x(t)=(t)(0)
52
25
- 3
2
x' =
Find a fundamental matrix for the given system. Select the correct answer below.
O C.
Þ(t)=
|x, x(0) =
Þ(t)=
e
- e
3t
3t
e7t
e
7t
5+7te³t 3-7e7t
2+3te 7-3e7t
7t
Find a solution satisfying the given initial condition.
x(t) =
(Use integers or fractions for any numbers in the expression.)
Xo to find a solution satisfying the initial conditions.
O B.
O D.
Þ(t)=
(t)=
5 e
2 e
- 5t
- 5t
- 3t
e
- e
7t
- 2e
-5 e ²t
- e
e
7t
5t
3t
Transcribed Image Text:Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) 52 25 - 3 2 x' = Find a fundamental matrix for the given system. Select the correct answer below. O C. Þ(t)= |x, x(0) = Þ(t)= e - e 3t 3t e7t e 7t 5+7te³t 3-7e7t 2+3te 7-3e7t 7t Find a solution satisfying the given initial condition. x(t) = (Use integers or fractions for any numbers in the expression.) Xo to find a solution satisfying the initial conditions. O B. O D. Þ(t)= (t)= 5 e 2 e - 5t - 5t - 3t e - e 7t - 2e -5 e ²t - e e 7t 5t 3t
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