39. Water flows into the tank at a rate of R L/min, is mixed instantaneously with the dye solution, and flows out through the bottom at the same rate R. Let c1 (t) be the dye concentration in the tank at time t. Tank 1 in Figure 5 is filled with Vị liters of water containing blue dye at an initial concentration of co g/L. dc, R V1 = 300 L, R = 50, and co = 10 g/L. (a) Explain why cj satisfies the differential equation dt (b) Solve for c1 (t) with V1 %3D %3D R(L/min) Tank I R (L/min) Tank 2 R (L/min) FIGURE 5
39. Water flows into the tank at a rate of R L/min, is mixed instantaneously with the dye solution, and flows out through the bottom at the same rate R. Let c1 (t) be the dye concentration in the tank at time t. Tank 1 in Figure 5 is filled with Vị liters of water containing blue dye at an initial concentration of co g/L. dc, R V1 = 300 L, R = 50, and co = 10 g/L. (a) Explain why cj satisfies the differential equation dt (b) Solve for c1 (t) with V1 %3D %3D R(L/min) Tank I R (L/min) Tank 2 R (L/min) FIGURE 5
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:39.
Water flows into the tank at a rate of R L/min, is mixed instantaneously with the dye solution, and flows out through the
bottom at the same rate R. Let c1 (t) be the dye concentration in the tank at time t.
Tank 1 in Figure 5 is filled with Vị liters of water containing blue dye at an initial concentration of co g/L.
dc, R
V1
= 300 L, R = 50, and co = 10 g/L.
(a) Explain why cj satisfies the differential equation
dt
(b) Solve for c1 (t) with V1
%3D
%3D
Transcribed Image Text:R(L/min)
Tank I
R (L/min)
Tank 2
R (L/min)
FIGURE 5
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