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For the system in Problem 49. (a) Show that x1(t) + x2(t) + x3(t) = 5 5.lnteipretthisresult Problem 49 (a) In the closed system shown in RGURE 10.2.6 the three large tanks A, B, and C initially contain the number of gallons of brine indicated. Construct a mathematical model for the number of pounds of salt x1(t), x2(t), and x3(t) in the tanks A, B, and Cat time t, respectively. (b) Use the eigenvalue method of this section to solve the system in part (a) subject to x1 (0) = 30, x2(0) = 20, x3(0) = 5.

For the system in Problem 49. (a) Show that x1(t) + x2(t) + x3(t) = 5 5.lnteipretthisresult Problem 49 (a) In the closed system shown in RGURE 10.2.6 the three large tanks A, B, and C initially contain the number of gallons of brine indicated. Construct a mathematical model for the number of pounds of salt x1(t), x2(t), and x3(t) in the tanks A, B, and Cat time t, respectively. (b) Use the eigenvalue method of this section to solve the system in part (a) subject to x1 (0) = 30, x2(0) = 20, x3(0) = 5.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 15EQ
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For the system in Problem 49.

(a) Show that x1(t) + x2(t) + x3(t) = 5 5.lnteipretthisresult

Problem 49

(a) In the closed system shown in RGURE 10.2.6 the three large tanks A, B, and C initially contain the number of gallons of brine indicated. Construct a mathematical model for the number of pounds of salt x1(t), x2(t), and x3(t) in the tanks A, B, and Cat time t, respectively.

(b) Use the eigenvalue method of this section to solve the system in part (a) subject to x1 (0) = 30, x2(0) = 20, x3(0) = 5.


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