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)= = ...

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 59CR
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)= = ...
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