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A subroutine for very-high-precision numerical solution of a class ofordinary differential equations is provided. For given evaluation point andequation parameters the memory requirement scales linearly with precision $P$,and the number of algebraic operations scales roughly linearly with $P$ when$P$ becomes sufficiently large. We discuss results from extensive tests of thecode, and how one for a given evaluation point and equation parameters mayestimate precision loss and computing time in advance.

High precision series solution of differential equations: Ordinary and regular singular point of second order ODEs