A mixing tank contains 80 gallons of pure water solution. When the mixing system is turned on, a saltwater solution with 2 Ib/gal of salt enters at a rate of 5 gal/min. The well stirred solution leaves the mixing tank at a rate of 3 gal/min. Determine the formula for the amount of salt in the mixing tank at any time. a) Draw a diagram of the mixing tank labeling the given parameters of the problem. b) Determine the differential equation and the initial conditions. c) Determine the formula for the amount of salt in the mixing tank at any time.

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A: topic:- differential equation

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A: To Determine -

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.