Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a)= x₁ using the following values. 5t -[2]× - [•]~-~= [° A= -16 x(t) = 6 -37 -6 f(t)= x(0) = cost+ 6 sint -37 sint sint cost-6 sint VI
Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a)= x₁ using the following values. 5t -[2]× - [•]~-~= [° A= -16 x(t) = 6 -37 -6 f(t)= x(0) = cost+ 6 sint -37 sint sint cost-6 sint VI
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) = x₂ using the following values.
6 -37
A-[-²] -----
=
x(0) =
[°
1 6
x(t) =
f(t) =
5t
cost + 6 sint
-37 sin t
sint cost-6 sin t
Yl](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F896deee6-4ebc-4afd-8502-502eb7aa6712%2F9ea8f8dd-0938-4063-8441-4d6381899254%2Fbpjuecd_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) = x₂ using the following values.
6 -37
A-[-²] -----
=
x(0) =
[°
1 6
x(t) =
f(t) =
5t
cost + 6 sint
-37 sin t
sint cost-6 sin t
Yl
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