Recall solving the linear system 501 using elimination techniques. Recall this linear system is a mathematical model for the number of pounds of salt x,(t), x,(c), and x,(t) in the connected mixing tanks A, B, and C shown in the figure. pure water 4 gal/min 商国團 200 gal 150 gal 100 gal mixture mixture mixture 4 gal/min 4 gal/min 4 gal/min (a) Use the eigenvalue method of this section to solve the system subject to x,(0) - 20, x,(0) = 15, x-(0) = 10. x;(t) = Xg(t) = Xg(t) = (b) What are lim x,(t), lim x,(t), and lim xg(t)? lim x,(t) - lim x2(t) - lim x3(t) - Interpret this result. This means eventually tank A will contain Select--- ,tank B will contain -Select-- and tank C will contain -Select--
Recall solving the linear system 501 using elimination techniques. Recall this linear system is a mathematical model for the number of pounds of salt x,(t), x,(c), and x,(t) in the connected mixing tanks A, B, and C shown in the figure. pure water 4 gal/min 商国團 200 gal 150 gal 100 gal mixture mixture mixture 4 gal/min 4 gal/min 4 gal/min (a) Use the eigenvalue method of this section to solve the system subject to x,(0) - 20, x,(0) = 15, x-(0) = 10. x;(t) = Xg(t) = Xg(t) = (b) What are lim x,(t), lim x,(t), and lim xg(t)? lim x,(t) - lim x2(t) - lim x3(t) - Interpret this result. This means eventually tank A will contain Select--- ,tank B will contain -Select-- and tank C will contain -Select--
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:Recall solving the linear system
dx1
50*
dt
dx,
75*2
=
-
dt
50
dx.
dt
using elimination techniques. Recall this linear system is a mathematical model for the number of pounds of salt x, (t), x,(t), and x,(t) in the connected mixing tanks A, B, and C shown in the figure.
pure water
4 gal/min
B
C
200 gal
150 gal
100 gal
mixture
mixture
mixture
4 gal/min
4 gal/min
4 gal/min
(a) Use the eigenvalue method of this section to solve the system subject to x,(0) = 20, x,(0) = 15, x3(0) = 1o.
X1(t) =
x(t) =
X3(t) =
(b) What are lim x,(t), lim x,(t), and lim x,(t)?
t- 00
t- 00
t- c0
lim x,(t)
lim x2(t) =
lim x3(t) =
Interpret this result.
This means eventually tank A will contain
--Select---
, tank B will contain --Select--
, and tank C will contain ---Select---
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