Arithmetic Course/Differential Equation/First Order Differential Equation

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First Order Differential Equation[edit]

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[edit]

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