1) Write the given second order equation as its equivalent system of first order equations. u" +5.5u' - 1.5u=-2 sin(3t), u(1) = 4, u' (1) = 5.5 Use v to represent the "velocity function", i.e. v = u' (t). Use v and u for the two functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.) u' = v' = Now write the system using matrices. d dt [3]-[ 3] [:] V and the initial value for the vector valued function is: u(1) v(1) +
1) Write the given second order equation as its equivalent system of first order equations. u" +5.5u' - 1.5u=-2 sin(3t), u(1) = 4, u' (1) = 5.5 Use v to represent the "velocity function", i.e. v = u' (t). Use v and u for the two functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.) u' = v' = Now write the system using matrices. d dt [3]-[ 3] [:] V and the initial value for the vector valued function is: u(1) v(1) +
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
#1
![1) Write the given second order equation as its equivalent system of first order equations.
u" +5.5u - 1.5u = -2 sin(3t),
u(1) = 4,
u' (1) = 5.5
Use v to represent the "velocity function", i.e. v = u' (t).
Use v and u for the two functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.)
u' =
v' =
Now write the system using matrices
d
[3]-[
3] [:]
dt
V
and the initial value for the vector valued function is
u(1)
TH
v(1)
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03fb929a-cbd9-4645-8c09-6942d746fc16%2F5bd047ca-c594-49aa-91c2-0617ae5c3092%2Fwacc1kva_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1) Write the given second order equation as its equivalent system of first order equations.
u" +5.5u - 1.5u = -2 sin(3t),
u(1) = 4,
u' (1) = 5.5
Use v to represent the "velocity function", i.e. v = u' (t).
Use v and u for the two functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.)
u' =
v' =
Now write the system using matrices
d
[3]-[
3] [:]
dt
V
and the initial value for the vector valued function is
u(1)
TH
v(1)
+
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
