Sand is leaking from a bag in such a way that after t seconds, there are S(t) = 50 (1 − t 2 15 ) 3 pounds of sand left in the bag. 1.How much sand was originally in the bag? 2.At what rate is sand leaking from the bag after 1 second? 3.How long does it take for the sand to leak from the bag? At what rate is the sand leaking from the bag at the time it empties?

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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.