Differential Equations, Solutions and Applications

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Calculus - Differential Equations

jake12testoswi Created by 1 yr ago

Cards in this deck(5)

A mathematical equation that relates a function to its derivatives, focusing on functions of a single variable and typically used to describe systems that change over time.

An integration factor is a mathematical function used to simplify the process of solving differential equations by transforming them into a form that is easier to integrate.

Nonlinear dynamics refers to the study of systems governed by equations that do not exhibit a direct proportionality between cause and effect, leading to complex behaviors that may include chaos, bifurcations, and unexpected phenomena.

Boundary Value Problems are a class of differential equations where the solution is sought in a specific region, defined by boundary conditions that must be satisfied at the edges of the domain.

The Wronskian determinant is a mathematical construct used to determine the linear independence of a set of functions, defined as the determinant of a matrix composed of those functions and their derivatives up to a certain order.

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