Arithmetic Course/Differential Equation/First Order Differential Equation

A differential equation is an equation that has the general form

${\displaystyle A{\frac {df(x)}{dx}}+B=0}$

Which can be rewritten as

${\displaystyle {\frac {df(x)}{dx}}+{\frac {B}{A}}=0}$

Equivalent to

${\displaystyle f^{'}(x)=0}$

${\displaystyle A{\frac {df(x)}{dx}}+B=0}$

${\displaystyle {\frac {df(x)}{dx}}+{\frac {B}{A}}=0}$

${\displaystyle f(x)=-{\frac {B}{A}}}$