Solution

Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 49 / 4 / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 64 / 3 / iii / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 80 / 2 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 80 / 4 / b / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / ii / Paper 3 / 32D / Solution

Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 75 / 2 / Solution

{title2=$u(\epsilon)\sim u_0+\epsilon u_1+\cdots$}

Perturbation theory develops approximate solutions in a small parameter around a simpler reference problem. A power-series <asymptotic expansion> gives equations for successive correction coefficients; a <matched asymptotic expansion> handles cases where one expansion is not uniformly valid.

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 Incoming links: Perturbation theory