Posted by **cecyl** on Wednesday, April 24, 2013 at 2:04pm.

Suppose tank A consist of 500 liter brine with 500gm salt dissolved in it, whereas in tank B containing 500 liter of water. Water is allowed to enter tank A at a rate of 30 liter/minute, and that mixed solution flow from tank A to tank B at a rate of 40 liter/minute. At the same time, 10 liter/minute were pumped back from tank B to tank A, while the mixed solution also is drained from tank B at a rate of 30 liter/minute as shown in figure. Let’s represent the amount of salt in tank A and tank B respectively, so the rate of change of the amount of salt in each tank can be formulated as following system:

Find the particular solution for

dx/dt = - (40/500)x + (10/500)y dy/dt = 40/500x - (10/500 + 30/500)y

## Answer this Question

## Related Questions

- linear - Suppose that we have a system consisting of two interconnected tanks, ...
- linear algebra - Suppose that we have a system consisting of two interconnected ...
- chemical calculations - Brine from a first tank runs into a second tank at 2 ...
- math - Tank 1 initial contains 70 L (liters) of water and 450 g of salt, while ...
- Physics - A./_\ B.\_/ C.|_| The three tanks shown above are filled with water to...
- Re post water in tanks problem - A./_\ B.\_/ C.|_| The three tanks shown above ...
- Math - A tank contains a certain amount of water. Each month half of the water ...
- Differential Equations - A tank originally contains 5 lb of salt dissolved in ...
- Calculus - A large tank is filled with 200 gallons of pure water. Brine ...
- Math - a rectangular tank with a square base of side 60 centimeters and a height...

More Related Questions