Numerical methods for
ordinary differential equations are methods used to find numerical approximations to the solutions of
ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term is sometimes taken to mean the computation of integrals.Many
differential equations cannot be solved using symbolic computation ("
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Differential equations. A
linear differential equation is a
differential equation that is defined by a
linear polynomial in the unknown function and its derivatives, that is an equation of the form + ′ + ″ + ⋯ + () + =,where (), ..., () and () are arbitrary differentiable functions that do not need to be
linear, and ′, …, are the successive derivatives of the unknown function y of ... 30 Functions of a complex variable. Preprints: Functions of a complex variable (Front for the Mathematics ArXiV) ; Information Sites Julia and Mandelbrot Set Explorer by David E. Joyce [1994] (Clark U, Worcester, MA USA) ; Graphics for complex
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