Mathematical Analysis

Differential Equations

What is an example of a differential equation?

An example of a differential equation involves letting y be some function of the independent variable t. Then a differential equation relating y to one or more of its derivatives is as follows:


In this equation, the first derivative of the function y is equal to the product of t2 and the function y itself. This also implies that the stated relationship holds only for all t for which both the function and its first derivative are defined.


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