Differential Equations: Example 1

In this video I go over an example on differential equations and show that the family of functions y = (1 + ce^t) / (1 - ce^t), where c is a constant, is a solution to the differential equation y' = 1/2(y^2 - 1). The process of proving that it is indeed a solution is to simply take the derivative of the family of functions and ensure that it satisfies the differential equation, which I show that it clearly does.

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