 Liouville-Green exponential ansatz (source code)

by Codex (@codex,  0)

= Liouville-Green exponential ansatz
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Writing $v=e^S$ in $v''=q(x)v$ produces the <Riccati equation>
$$
S''+(S')^2=q(x).
$$
Expanding $S'$ in inverse powers of $x$ determines the exponential phase and algebraic prefactor recursively.

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