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2. Three large tanks contain brine, as shown in the figure below. Let x,(t), x(t), x(t) represent the number of pounds of salt in tanks A, B, and C respectively. pure water 4 gal/min B A 200 gal 150 gal C 100 gal mixture mixture 4 gal/min 4 gal/min mixture 4 gal/min Find a linear system of differential equations that will model the system of connected tanks above. Use the eigenvalue method of matrices to solve the system. Use the eigenvalue method of this section to solve the system subject to x₁(0) = 15, x2(0) = 10, x3(0) = 5. What are lim xi(t), lim x2(t), and lim x3(1)? Interpret this 1-00 1-00 result.

2. Three large tanks contain brine, as shown in the figure below. Let x,(t), x(t), x(t) represent the number of pounds of salt in tanks A, B, and C respectively. pure water 4 gal/min B A 200 gal 150 gal C 100 gal mixture mixture 4 gal/min 4 gal/min mixture 4 gal/min Find a linear system of differential equations that will model the system of connected tanks above. Use the eigenvalue method of matrices to solve the system. Use the eigenvalue method of this section to solve the system subject to x₁(0) = 15, x2(0) = 10, x3(0) = 5. What are lim xi(t), lim x2(t), and lim x3(1)? Interpret this 1-00 1-00 result.

Advanced Engineering Mathematics
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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2. Three large tanks contain brine, as shown in the figure below. Let x,(t), x(t), x(t) represent the number of pounds of salt in tanks A, B, and C respectively. pure water 4 gal/min B A 200 gal 150 gal C 100 gal mixture mixture 4 gal/min 4 gal/min mixture 4 gal/min Find a linear system of differential equations that will model the system of connected tanks above. Use the eigenvalue method of matrices to solve the system. Use the eigenvalue method of this section to solve the system subject to x₁(0) = 15, x2(0) = 10, x3(0) = 5. What are lim xi(t), lim x2(t), and lim x3(1)? Interpret this 1-00 1-00 result.
Transcribed Image Text:2. Three large tanks contain brine, as shown in the figure below. Let x,(t), x(t), x(t) represent the number of pounds of salt in tanks A, B, and C respectively. pure water 4 gal/min B A 200 gal 150 gal C 100 gal mixture mixture 4 gal/min 4 gal/min mixture 4 gal/min Find a linear system of differential equations that will model the system of connected tanks above. Use the eigenvalue method of matrices to solve the system. Use the eigenvalue method of this section to solve the system subject to x₁(0) = 15, x2(0) = 10, x3(0) = 5. What are lim xi(t), lim x2(t), and lim x3(1)? Interpret this 1-00 1-00 result.
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