A tank contains 1300 L of pure water.  The solution that contains 0.01 Kg of sugar per liter enters the tank at the rate of 7L/min. and is thoroughly mixed into it. The new solution drains out of the tank at the same rate. (a) How much sugar is in the tank at the beginning? y(0)= to( Kg (b) Find the amount of sugar after t minutes. y(t) = (kg) (c) As t becomes large what value is y(t) approaching? in other words, calculate the following limit  lim t-oo y(t)= (kg)

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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.