Ordinary differential equations (ODEs) are also called initial value problems because a time zero value for each first-order differential equation is needed. The following is an example of a ...

Our treatment of ordinary differential equations starts with a discussion of some classical methods to obtain explicit integrals, followed by the existence theorems of Picard–Lindelöf and Peano which ...

In this repository we will show how to use different methods for solving ordinary differential equations. In the introduction, we will discuss about differential equations and the methods to solve ...

In this course, you will learn about second order linear differential equations (homogeneous and nonhomogeneous), systems of ordinary differential equations, fourier series, laplace transforms and ...

Abstract In this paper, the authors show that the general linear second order ordinary Differential Equation can be formulated as an optimization problem and that evolutionary algorithms for solving ...

Many scientific and real-world problems that occur in science, engineering, and medicine can be represented in differential equations. There is a vital role for differential equations in studying the ...

Nicolas J-B. Brunel, Quentin Clairon, Florence d'Alché-Buc, Parametric Estimation of Ordinary Differential Equations With Orthogonality Conditions, Journal of the American Statistical Association, Vol ...