Use the method of variation of parameters to solve the initial value problem x'=Ax+ f(t), x(a) = x₂ using the following values. 9 -3 36t 1+ 3t 9t ^-[ :-)--[*]-[:]-*-[*** .-*] A = x(0) 3 -1 6t t 1-3t x(t) = f(t): At V

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x₁ using the following values.
------[***]
361²
x(0) =
6t
A =
x(t) =
9 3
3 -1
f(t) =
At
1 + 3t 9t
t 1-3t
VIL
Transcribed Image Text:Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x₁ using the following values. ------[***] 361² x(0) = 6t A = x(t) = 9 3 3 -1 f(t) = At 1 + 3t 9t t 1-3t VIL
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,