Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), (a)=x₂ using the following values. A = 5 -1 7-3 ,f(t) = 19e2t 25e2t x(0) = [:] 0 eAt 1 6 7e4t-e-2t - e4t +e-2t 7e4t-7e-2t - e4t + 7e-2t
Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), (a)=x₂ using the following values. A = 5 -1 7-3 ,f(t) = 19e2t 25e2t x(0) = [:] 0 eAt 1 6 7e4t-e-2t - e4t +e-2t 7e4t-7e-2t - e4t + 7e-2t
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Jj.197.
![Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t),
x(a) = x₂ using the following values.
A =
0
[]*****
-[:]
x(0) =
x(t) =
5 1
7 - 3
f(t) =
19e2t
25e2t
6
7e4t-e-2t
7e4t-7e-2t
- e4t+e-2t
- e4t + 7e-2t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c03b0fa-dec0-46db-b977-2de339770f24%2F1316ffe3-a412-46be-9731-6e22fe08ac95%2Feire1yt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t),
x(a) = x₂ using the following values.
A =
0
[]*****
-[:]
x(0) =
x(t) =
5 1
7 - 3
f(t) =
19e2t
25e2t
6
7e4t-e-2t
7e4t-7e-2t
- e4t+e-2t
- e4t + 7e-2t
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