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Partial differential equation

{title2=$f(x)=g(|x|)$}
{wiki}

A radial function depends only on the distance from the origin: $f(x)=g(|x|)$. Differential operators then reduce to radial formulas such as $\Delta f=g''+(n-1)g'/r$.


Radial function

Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 107 / 2 / d / Solution

{wiki=Radial_function}

A radial function is a type of function that depends only on the distance from a central point, rather than on the direction.


Radial function ( $f (x) = g (∣ x ∣)$ )

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Radial function (f(x)=g(∣x∣))

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Radial function ( $f (x) = g (∣ x ∣)$ )

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