Practical MATLAB Modeling with Simulink: Programming and Simulating Ordinary and Partial Differential Equations

© Sulaymon L. Eshkabilov 2020

S. L. EshkabilovPractical MATLAB Modeling with Simulinkhttps://doi.org/10.1007/978-1-4842-5799-9_1

1. Analytical Solutions for ODEs

Sulaymon L. Eshkabilov¹ 

(1)

Ag & Biosystems Engineering Department, North Dakota State University, Fargo, USA

 

Many modeling problems in engineering applications can be formulated using ordinary differential equations. There are a few different definitions of differential equation; one of the simplest ones is “A differential equation is any equation which contains derivatives, either ordinary derivatives or partial derivatives” given in [1]. From this definition, we can derive that there are two types of differential equations: ordinary differential equations (ODEs) and partial differential ...