Arithmetic Course/Differential Equation/First Order Differential Equation

First Order Differential Equation

A differential equation is an equation that has the general form

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

Which can be rewritten as

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

Equivalent to

$f^'(x) = 0$

Solving Differential 1st Ordered Equations

$A \frac{d f(x)}{dx} + B = 0$
$\frac{d f(x)}{dx} + \frac{B}{A} = 0$
$f(x) = - \frac{B}{A}$