Therefore, from the above solution we can conclude that : x(t) = 10 He³ 3t e³t - 1.6 [៦] e -t -8.4e2t + -2e2t Use the method of variation of parameters to solve the initial value problem x' = Ax+f(t), x(a)=x using the following values. 4 -1 8 A= 16 |, f(t) = 7 1 + 4t x(0) = eAt -t = - 4 16t 1-4t x(t)= = ...

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

please provide the answer in the format of the example solution I attached.

Therefore, from the above solution we can conclude that :
x(t) = 10 He³
3t
e³t - 1.6
[៦]
e
-t
-8.4e2t
+
-2e2t
Transcribed Image Text:Therefore, from the above solution we can conclude that : x(t) = 10 He³ 3t e³t - 1.6 [៦] e -t -8.4e2t + -2e2t
Use the method of variation of parameters to solve the initial value problem x' = Ax+f(t),
x(a)=x using the following values.
4
-1
8
A=
16
|, f(t) =
7
1 + 4t
x(0) =
eAt
-t
=
- 4
16t 1-4t
x(t)=
=
...
Transcribed Image Text:Use the method of variation of parameters to solve the initial value problem x' = Ax+f(t), x(a)=x using the following values. 4 -1 8 A= 16 |, f(t) = 7 1 + 4t x(0) = eAt -t = - 4 16t 1-4t x(t)= = ...
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,