A 500 gallon tank currently holds 300 gallon of brine solution containing 150 pounds of dissolved salt. A brine solution containing 2 ponds salt per gallon is at the rate of 3 gallons per minute and the well mixed solution in the tank flows out at a rate of 1 gallons per minute. (a) When will the tank overflow? (b) Determine the amount of dissolved salt in the tank a 10 min after the tank overflows.

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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.