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

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

Solving Differential 1st Ordered Equations

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

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

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