Hi, So here's a mixing problem/initial value problem: A tank with a capacity of 4000 L is full of a mixture of water and chlorine with a concentration of 0.005 g of chlorine per liter.  In order to reduce the concentration of chlorine, fresh water is pumped into the tank at a rate of 40 L/s.  The mixture is kept stirred and is pumped out at a rate of 100 L/s.  Find the amount of chlorine in the tank as a function of time.  Let y be the amount of chlorine in grams and t be the time in seconds. Thanks!

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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.