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. Letâ€™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

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