5. The mixing tanks A & B initially contain 10 gallons of brine. Liquid is pumped in and out as shown in fig. Derive the differential equations that describe the number of pounds qi(t) &q2(t) of salt in tanks A & B respectively at time t. a) Solve the linear system subject to q1(0) = 7, q2(0) = 2 pounds of salt. b) Graph the phase plane portrait, component graphs and state the type of equilibrium. 11b/gal 2 gal/min 4 gal/min 10 gals. 10 gals. a gal/min 4 gal/min 2 gal/min

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