Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x₂ using the following values. 7t 0 - [7] [8]... eAt. A = x(t) = 2 -5 -2 f(t) = cost + 2 sin t sint - 5 sin t cost-2 sint
Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x₂ using the following values. 7t 0 - [7] [8]... eAt. A = x(t) = 2 -5 -2 f(t) = cost + 2 sin t sint - 5 sin t cost-2 sint
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) = xå using the following values.
7t
4
-[:]
- 5 sin t
cost-2 sint
A =
x(t) =
2 -5
1 -2
f(t) =
x(0) =
eAt
=
cost + 2 sin t
sint](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb678aa8-d25f-4304-a693-c18fa77b8716%2F31a85623-22c7-464b-98fe-85019dc13890%2F7hua2zp_processed.png&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) = xå using the following values.
7t
4
-[:]
- 5 sin t
cost-2 sint
A =
x(t) =
2 -5
1 -2
f(t) =
x(0) =
eAt
=
cost + 2 sin t
sint
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