5. The mixing tanks A & B initially contain 10 gallons of brine. Liquid is pumped in and out as shown in fig. Derive the differential equations that describe the number of pounds qi(t) &q2(t) of salt in tanks A & B respectively at time t. a) Solve the linear system subject to q1(0) = 7, q2(0) = 2 pounds of salt. b) Graph the phase plane portrait, component graphs and state the type of equilibrium. 11b/gal 2 gal/min 4 gal/min 10 gals. 10 gals. a gal/min 4 gal/min 2 gal/min
5. The mixing tanks A & B initially contain 10 gallons of brine. Liquid is pumped in and out as shown in fig. Derive the differential equations that describe the number of pounds qi(t) &q2(t) of salt in tanks A & B respectively at time t. a) Solve the linear system subject to q1(0) = 7, q2(0) = 2 pounds of salt. b) Graph the phase plane portrait, component graphs and state the type of equilibrium. 11b/gal 2 gal/min 4 gal/min 10 gals. 10 gals. a gal/min 4 gal/min 2 gal/min
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![5. The mixing tanks A & B initially contain 10 gallons of brine. Liquid is pumped in and out
as shown in fig. Derive the differential equations that describe the number of pounds
qi(t) &q2(t) of salt in tanks A & B respectively at time t.
a) Solve the linear system subject to q1(0) = 7, q2(0) = 2 pounds of salt.
b) Graph the phase plane portrait, component graphs and state the type of
equilibrium.
11b/gal
2 gal/min
4 gal/min
10 gals.
10 gals.
a gal/min
4 gal/min
2 gal/min](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Facfb296d-c42b-4e28-876a-1baf5375f9c9%2F07253ebd-a307-444c-a8a2-dd4ba4bb8298%2Fyhznqww_processed.png&w=3840&q=75)
Transcribed Image Text:5. The mixing tanks A & B initially contain 10 gallons of brine. Liquid is pumped in and out
as shown in fig. Derive the differential equations that describe the number of pounds
qi(t) &q2(t) of salt in tanks A & B respectively at time t.
a) Solve the linear system subject to q1(0) = 7, q2(0) = 2 pounds of salt.
b) Graph the phase plane portrait, component graphs and state the type of
equilibrium.
11b/gal
2 gal/min
4 gal/min
10 gals.
10 gals.
a gal/min
4 gal/min
2 gal/min
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