Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) x to find a solution satisfying the initial conditions. x'= -3-2 9 3 x. x(0)= 5.4 1+2t-3-2e-3t -2e-3¹ 2 cos 3t - 2 sin 3t c. o(t)= - 3 cos 3t+3 sin 3t 3 cos 3t+ 3 sin 3t 3 cos 3t 2 sin 3t-2 cos 3t OD. (t)= 2 sin 3t+3 cos 3t -3 sin 3t 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)=(t)(0) x to find a solution satisfying the initial conditions. x'= -3-2 9 3 x. x(0)= 5.4 1+2t-3-2e-3t -2e-3¹ 2 cos 3t - 2 sin 3t c. o(t)= - 3 cos 3t+3 sin 3t 3 cos 3t+ 3 sin 3t 3 cos 3t 2 sin 3t-2 cos 3t OD. (t)= 2 sin 3t+3 cos 3t -3 sin 3t Find a solution satisfying the given initial condition. x(t)= (Use integers or fractions for any numbers in the expression)
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
Related questions
Question
![Solve. The same way to ask the solution
Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) x to find a solution satisfying the initial conditions.
x'=
-3 -2
9 3
x, x(0)=
B. -
1+2t -3-2e-3t
2 cos 31
- 2 sin 3t
(t)=
-3 cos 3t+3 sin 3t 3 cos 3t+ 3 sin 3t
3 cos 3t 2 sin 3t-2 cos 3t
OD. (t)=
2 sin 3t+3 cos 3t
-3 sin 3t
Find a solution satisfying the given initial condition.
x(t)
(Use integers or fractions for any numbers in the expression)
44This is a solved question
Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) x to find a solution satisfying the initial conditions.
x'=
-6-2
36 6
x, x(0)=
Exze
2 cos 6t
- 2 sin 6t
c. (t)=
-6 cos 6t+6 sin 6t 6 cos 6t+ 6sin 6t
6e-6t-2e-6t
OD. (t)=
-2 est
6e-6t
Find a solution satisfying the given initial condition.
3 cos 6t-2 sin 6t
x(t) =
-3 cos 6t + 15 sin 6t
(Use integers or fractions for any numbers in the expression.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad53af2a-e512-454f-8f75-121cc9927ab8%2F7828ff31-7688-4772-b9ce-29d6ad133ec3%2Fzvld3nr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve. The same way to ask the solution
Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) x to find a solution satisfying the initial conditions.
x'=
-3 -2
9 3
x, x(0)=
B. -
1+2t -3-2e-3t
2 cos 31
- 2 sin 3t
(t)=
-3 cos 3t+3 sin 3t 3 cos 3t+ 3 sin 3t
3 cos 3t 2 sin 3t-2 cos 3t
OD. (t)=
2 sin 3t+3 cos 3t
-3 sin 3t
Find a solution satisfying the given initial condition.
x(t)
(Use integers or fractions for any numbers in the expression)
44This is a solved question
Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) x to find a solution satisfying the initial conditions.
x'=
-6-2
36 6
x, x(0)=
Exze
2 cos 6t
- 2 sin 6t
c. (t)=
-6 cos 6t+6 sin 6t 6 cos 6t+ 6sin 6t
6e-6t-2e-6t
OD. (t)=
-2 est
6e-6t
Find a solution satisfying the given initial condition.
3 cos 6t-2 sin 6t
x(t) =
-3 cos 6t + 15 sin 6t
(Use integers or fractions for any numbers in the expression.)
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