Did I set up my differential equation correctly?

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SUMMARY

The differential equation setup for the tank problem is incorrect. The system involves two tanks with a flow rate of 10 gal/min entering Tank 1 and only 5 gal/min exiting, which disrupts the expected constant volume condition. To resolve this, it is essential to introduce unknown variables for the flow rates into and out of Tank 1 and Tank 2. This approach allows for the derivation of the correct flow rates and ensures that the equations reflect the system's dynamics accurately.

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shreddinglicks
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Homework Statement


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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.
 

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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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