A tank originally contains 100 gal of fresh water (no salt.) At time t=0, a solution containing 0.2 lb of salt per gallon begins to flow into the tank at a rate of 3 gal/min and the well stirred mixture flows out of the tank at the same rate. Set up the differential equation and the initial condition for this problem. Solve the initial value problem Do it from scratch with all the details.

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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.