Differential Equations | Liquid in Cylinder Problem | Separation of Variables
This video provides a real example of how the technique of separable variables can be used to solve a first order differential equation. The problem is one of a liquid being drained from a cylindrical can using a straw.
From the information provided, the video demonstrates firstly how to formulate the differential equation from the information provided and sets out the problem of finding a function that is a relationship between depth of liquid in the cylinder and time.
Once the differential equation has been formulated, the video goes on to demonstrate how to solve it using the separation of variable technique to generate the general solution and then how to use the initial values to generate the particular solution.
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