A tank holds 300 gal of brine solution with 50 pounds of dissolved salt. A brine solution containing 2 lbsalt/gal is pumped into the tank at a rate of 3 gal/min and the solution inside the tank is also the pumped out at the same rate, estimate the amount of the salt dissolved in the tank after a long time.

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A: Here I am attaching image so that you understand each and every step. A tank contains brine=100…

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A: Let V be the volume of the tank. Thus, Vt=50+4+2-5t       =50tL where, t is the time in minutes.

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Q: A 500 gal capacity tank initially contains 200 gal of water and 5 lbs of salt per gallon. To reduce…

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A: We will find out the required solution.

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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.