Did I set up my differential equation correctly?

[shreddinglicks]

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.

 

[Joffan]

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.

 

[shreddinglicks]

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.

 

[haruspex]

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.

 

[Joffan]

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".