- #1

etotheipi

2019 Award

- 1,824

- 936

## Main Question or Discussion Point

This is quite literally a showerthought; a differential equation is a statement that holds

*for all*##x## within a specified domain, e.g. ##f''(x) + 5f'(x) + 6f(x) = 0##. So why is it called a differential*equation*, and not a differential*identity*? Perhaps because it only holds for a specific set of solutions for ##f(x)##?