In this video I look at how a differential equation can be formed from a practical situation. This example uses inverse proportion within the question.

Example:

  1. A cone is being filled such that the rate of increase in the height at time t is inversely proportional to the square of the height at time t.
    Find h when t = 8, given that h = 0 when t = 0 and h = 2 when t = 1.
Forming Differential Equations (Inverse Proportion) : ExamSolutions - youtube Video