Consider the two tanks shown in the figure below. Assume that tank A contains 100 gallons of water in which 25 pounds of salt is dissolved. Suppose tank B contains 100 gallons of pure water. Liquid is pumped into and out of the tanks as indicated in the figure; Let X₁ and X₂ be the amount of salt as functions of time t in tanks A and B respectively. Find a system of first order equation for the amounts of salts X₁ and X₂, including the initial conditions for the system. Do not Solve the system. A 100 gal mixture 3 gal/min mixture 2 gal/min B 100 gal

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