When air expands adiabatically (without gaining or losingheat), its pressure and volume are related by the equation  PV 1.4  = C  where C is a constant. Suppose that at a certain instant the volume is 400 cm and the pressure is80 kPa and is decreasing at a rate of 10 kPamin. At what rate is the volume increasing at this instant?

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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.