Choose differential equation that you believe best models the rate of change of the amount of salt in the mixing tank problem below. A tank initial contains 100 gallons of brine that has 200 pounds of salt. Brine containing 1/2 pound of salt per gallon enters the tank at a rate of 20 gallons per minute, and the perfectly mixed solution leaves the tank at a rate of 30 gallons per minute. dS A. dt 30S 10 - %3D 100–10t dS 30S 10 %3D dt 100 dS 10S C. dt 20 100–10t dS 30S dt 100–10t || B. D.

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A: We will find rate of change of amount of salt and use it to form a differential equation .

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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.