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:<math>
:<math>
\begin{align}
\begin{align}
& \frac {dy}{dx} = f(x) \\[5pt]
& \frac {dy}{dx} = f(x) \\[5pt]
& \frac {dy}{dx} = f(x,y) \\[5pt]
& \frac {dy}{dx} = f(x,y) \\[5pt]
& x_1 \frac {\partial y}{\partial x_1} + x_2 \frac {\partial y}{\partial x_2} = y
& x_1 \frac {\partial y}{\partial x_1} + x_2 \frac {\partial y}{\partial x_2} = y
\end{align}
\end{align}
</math>
</math>
In all these cases, {{mvar|y}} is an unknown function of {{mvar|x}} (or of <math>x_1</math> and <math>x_2</math>), and {{mvar|f}} is a given function.
In all these cases, {{mvar|y}} is an unknown function of {{mvar|x}} (or of <math>x_1</math> and <math>x_2</math>), and {{mvar|f}} is a given function.