Determining if an ordinary differential equation has a unique solution through a given point.
Channel: Doctrina
Date: 2022-02-08

Given y' = f(x,y) we can determine whether or not there is a unique solution through a given point in some region, R, of the Cartesian plane. There are two important conditions that need to be considered:
1. f(x,y) is continuous within a region R. 
2. The partial derivative of f with respect to y is continuous within a region R. 

Both of which are illustrated here in this video.