Definition:Wronskian

Definition
Let $f \left({x}\right)$ and $g \left({x}\right)$ be real functions defined on a closed interval $\left[{a \,.\,.\, b}\right]$.

Let $f$ and $g$ be differentiable on $\left[{a \,.\,.\, b}\right]$.

The Wronskian of $f$ and $g$ is defined as:


 * $W \left({f, g}\right) = \begin{vmatrix}

f \left({x}\right) & g \left({x}\right) \\ f' \left({x}\right) & g' \left({x}\right) \\ \end{vmatrix} = f \left({x}\right) g' \left({x}\right) - g \left({x}\right) f' \left({x}\right)$

Also known as
Some sources preserve the diacritic on the n, that is: Wrońskian, but many consider such refinements to be visual clutter and prefer to discard them.