Use the method of variation of parame

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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Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x, using the following values.
2t
-t
- e
2t
18 e
f(t) =
4 e
+ e
3
A =
4
1
At
e
- 1
- e
x(0) =
- 2
30 e
2t
-4 e -t
2t + 4e -t
4 e
- e
.....
X(t) =
%3!
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. 2t -t - e 2t 18 e f(t) = 4 e + e 3 A = 4 1 At e - 1 - e x(0) = - 2 30 e 2t -4 e -t 2t + 4e -t 4 e - e ..... X(t) = %3!
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