Arithmetic Course/Differential Equation/First Order Differential Equation

First Order Differential Equation

A differential equation is an equation that has the general form

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

Which can be rewritten as

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

Equivalent to

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

Solving Differential 1st Ordered Equations

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

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

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