Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) =x, using the following values. 3t 4t - t 4t 5 - 1 1 At e 18 e 6 e - e - e + e A = x(0) = 3t f(t) = 6 - 2 4t 4t 33 е 6 e - 6 e e +6 e x(t) =
Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) =x, using the following values. 3t 4t - t 4t 5 - 1 1 At e 18 e 6 e - e - e + e A = x(0) = 3t f(t) = 6 - 2 4t 4t 33 е 6 e - 6 e e +6 e 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
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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.
3t
18 e
1
At
e
6 e 4t - e -t - e 4t
- t
+ e
- 1
A =
6.
f(t) =
2
x(0) =
3t
33 е
%3D
4t
6 e 4t - 6 e -t
- e + 6 e -t
.....
x(t) =
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