# Explicit differential equation

An explicit differential equation is a differential equation where the highest-order derivative is explicitly written as a function of the independent variable, dependent variable, and lower order derivatives. Explicitly, if the independent variable is $x$, the dependent variable is $y$, and the order is $k$, it has the form:
$y^{(k)} = G(x,y,y',\dots,y^{(k-1)})$
where $G$ is a function of $k +1$ variables.