Series solutions to non-linear ODEs or systems of themThis is a new procedure that finds series solutions and systems of non-linear ODEs. It is based on the operator method (Yu. N. Kosovtsov "The Chronological Operator Algebra and Formal Solutions of Differential Equations" See Related Link section 5.1). This procedure outputs the same result as the built-in Maple procedure based on Newton iteration (if both are successful). In simple cases when the problem does not depend on symbolic parameters (in ODEs and IC) the built-in procedure is very effective. However, when the problem depends on symbolic parameters (in ODEs or IC) the new procedure is faster and more efficient than the built in functionality.