Discussion
An equation containing a function of one independent variable and its derivatives is
Answer: A
An ordinary differential equation involves one independent variable, so every derivative in it is an ordinary derivative:
\[ \frac{d^{2}y}{dx^{2}} + 3\frac{dy}{dx} + 2y \;=\; 0 \]
A partial differential equation has two or more independent variables and therefore partial derivatives, as in \( \partial u/\partial t = \partial^{2}u/\partial x^{2} \). Linear and non linear describe how the unknown appears, which is a separate classification from how many independent variables there are.
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