Using integral equations and initial or boundary values can solve differential equations. Methods {method of successive substitutions} {successive substitutions method} can use iterative substitutions. Methods can use complex-variable functions that are monodrome, monogenic, and holomorphic. Methods can use meromorphic functions.
Complex-variable functions can be single-valued {monodrome}.
Complex-variable functions can have only one derivative at domain values {monogenic}.
Single-valued functions {meromorphic function} can be differentiable except at singularities, where they go to infinity. Polynomials can be meromorphic at points {pole, meromorphic function} but cannot have other singularity types. Meromorphic functions are entire-function ratios.
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Date Modified: 2022.0225