Answer to Question #37070 in Differential Equations for Yogeswary

Question

Suppose tank A contain of 500 liter brine wit initially 500gm salt dissolved in it,whereas in tank B containing 500liter of water with initially 250gm salt dissolved in it.Water allowed to enter tank A at a rate of 30liter/minute,and that mixed solution flow from tank A to tank B at a rate of 40liter/minute.At the same time,10liter/minute were pumped back from tank B to tank A,while the mixed solution also is drained from tank B at rate of 30liter/minute.Let's x and y represent the amount of salt in tank A and tank B respectively at any time,t,so the rate of change of the amount of salt in each tank can be formulated as following system :
dx/dt=-4/50 x+1/50 y
dy/dt=4/50 x-4/50 y

Answer 1

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