If the temperature is constant, then the atmospheric pressure p (in pounds/square inch) varies with the altitude above sea level h in accordance with the law  p0e-kh  where p0 is the atmospheric pressure at sea level and k is a constant. If the atmospheric pressure is 16 lb/in 2 at sea level and 11.5 lb/in 2 at 4000 feet , find the atmospheric pressure at an altitude of 12,000 feet.

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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.