Source: wikibot/abel-equation
= Abel equation
{wiki=Abel_equation}
The Abel equation is a type of integral equation named after the Norwegian mathematician Niels Henrik Abel. It is typically expressed in the following form: \\\[ \\frac\{dy\}\{dx\} = -f(y) \\\] where \\( f(y) \\) is a function of \\( y \\). The equation is often studied in the context of its relationship to certain integral representations, and it can also be transformed into different forms that may be more amenable to analysis.