Did I set up my differential equation correctly?

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Homework Help Overview

The discussion revolves around the setup of a differential equation related to a fluid dynamics problem involving two tanks. Participants are examining the flow rates of water entering and exiting the tanks and the implications of these rates on the system's behavior.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are questioning the flow rates provided in the problem, particularly the discrepancy between the inflow and outflow rates for Tank 1. Some suggest that the setup may not maintain a constant volume in the tanks, prompting discussions about introducing unknown variables for flow rates.

Discussion Status

The discussion is ongoing, with various interpretations of the problem being explored. Some participants have offered suggestions for adjusting the flow rates and introducing unknowns to better analyze the system. There is no explicit consensus on the correct setup yet.

Contextual Notes

Participants note that the problem has been modified, and there are concerns about the implications of the flow rates on the overall system. The original and modified data are both under scrutiny for their ability to maintain constant volumes in the tanks.

shreddinglicks
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Homework Statement


Shown in attachment

The problem has been modified. All inputs and outputs are 5 gal/min. Pure water enters tank 1.

Homework Equations


System of equations

The Attempt at a Solution


Included on attachment.
 

Attachments

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Tank 1 has 10 gal/min going in and only 5 gal/min coming out...it'll all end in tears (whether the briny sort or the ripping sort, only time will tell). Maybe the T1->T2 pipe should be 10 gal/min.
 
Joffan said:
Tank 1 has 10 gal/min going in and only 5 gal/min coming out...it'll all end in tears (whether the briny sort or the ripping sort, only time will tell). Maybe the T1->T2 pipe should be 10 gal/min.
I'm going by what the teacher says.
 
Judging from part E, the total volume in each tank is supposed to be constant. Neither the original data nor the modified data achieve that.
I suggest you put in unknowns for the rate of flow from outside the system into tank1 and the rate of return from tank2 to tank1. The other two flow rates can then be deduced. solve the question in terms of those unknowns. When you get the right data, you can just plug it into your equations.
 
shreddinglicks said:
I'm going by what the teacher says.
And if the teacher says black is white, zebras suddenly become horses.

The answer to your thread title question is "no".
 

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