When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation  PV1.4 = C, where C is a constant. Suppose that at a certain  instant the volume is 400 cm3 and the pressure is 80 kPa and  is decreasing at a rate of 10 kPa?min. 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.