Compute a Taylor Series Approximation (AsymptoticRSolveValue)

A linear ordinary difference equation (OΔE) can be approximated by a Taylor series expansion of the form when it has an ordinary point at . This example shows how to obtain such an approximation using AsymptoticRSolveValue. Different solutions can be obtained by varying the arbitrary constants in the general solution.

Taylor series solution for a linear OΔE with an ordinary point at Infinity.

Plot the solution for different values of the arbitrary constants.