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2) Refer to the solution of the mixing application. Answer the following: i) Briefly describe the graphs of y₁ (t) and y₂(t). ii) Observe that y₁ (t) is monotonic (increasing), but y₂(t) is not. Explain why this is so.

2) Refer to the solution of the mixing application. Answer the following: i) Briefly describe the graphs of y₁ (t) and y₂(t). ii) Observe that y₁ (t) is monotonic (increasing), but y₂(t) is not. Explain why this is so.

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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Application: Mixing Problem In the figure shown below, Tank T₁ initially contains 100 gals of pure water. Tank T₂ initially contains 100 gals of water in which 150 lbs of salt are dissolved. The inflow into T₁ is 2 gal/min from T₂ and 6 gal/min containing 6 lbs of salt from the outside. The inflow into T₂ is 8 gal/min from T₁. The outflow from T₂ is 2+ 6=8 gal/min, as shown in the figure. The mixtures are kept uniform by stirring. Find and plot the salt contents y₁ (t) and y₂ (t) in T₁ and T₂, respectively. 6 gal/min T₁ 2 gal/min 8 gal/min 6 gal/min 2) Refer to the solution of the mixing application. Answer the following: i) Briefly describe the graphs of y₁ (t) and y2(t). ii) Observe that y₁ (t) is monotonic (increasing), but y₂(t) is not. Explain why this is so. I
Transcribed Image Text:Application: Mixing Problem In the figure shown below, Tank T₁ initially contains 100 gals of pure water. Tank T₂ initially contains 100 gals of water in which 150 lbs of salt are dissolved. The inflow into T₁ is 2 gal/min from T₂ and 6 gal/min containing 6 lbs of salt from the outside. The inflow into T₂ is 8 gal/min from T₁. The outflow from T₂ is 2+ 6=8 gal/min, as shown in the figure. The mixtures are kept uniform by stirring. Find and plot the salt contents y₁ (t) and y₂ (t) in T₁ and T₂, respectively. 6 gal/min T₁ 2 gal/min 8 gal/min 6 gal/min 2) Refer to the solution of the mixing application. Answer the following: i) Briefly describe the graphs of y₁ (t) and y2(t). ii) Observe that y₁ (t) is monotonic (increasing), but y₂(t) is not. Explain why this is so. I
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