Problemas de valor inicial

Abstract

When modeling problems in science, engineering and economics are ordinary differential equations frequently. An ordinary differential equation (ODE hereafter) is a relationship between an independent variable and a function of the variable and its derivatives. We focus on first-order equations (the derivative of higher order listed is the order one). By solving a differential equation of first order being 'Y' the unknown function of the independent variable "t". We specify further that one of its integral curves must pass through a particular point (t0, Y0) in the plane. We impose the condition Y (t0) = y0, called initial condition. The problem happens then called an INITIAL VALUE PROBLEM (PVI).