Initially, tanks T1 and T2 respectively contain 100 gal and 2 gal/min 500 gal of water. In Ti the…

Initially, tanks T1 and T2 respectively contain 100 gal and 2 gal/min 500 gal of water. In Ti the water is pure, whereas 150 lb of salt are dissolved in T2. Liquid is pumped through the system 2 gal/min as indicated and the mixtures are kept uniform by stirring. (a) Find the amounts of salt x(t) in T1 and y(t) in 72. (b) Suppose that both tanks T1 and T2 initially contain 100 gal of water for each. If you build up new tank T3 of the same size as the others and connected to T2 by two tubes with flow rates as between Ti and T2. what system of ODEs will you get? (c) Find a general solution of the system in (b).

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