Differential Equations - Introduction - Math is Fun
Differential Equations can describe how populations change, how heat moves, how springs vibrate, how radioactive material decays and much more. They are a very natural way to describe many things in the universe.
8.1: Basics of Differential Equations - Mathematics LibreTexts
2018年10月18日 · In this section we study what differential equations are, how to verify their solutions, some methods that are used for solving them, and some examples of common and useful equations. Consider the equation y′ = 3x2, which is an example of a differential equation because it includes a derivative.
What follows are my lecture notes for a first course in differential equations, taught at the Hong Kong University of Science and Technology. Included in these
8: Introduction to Differential Equations - Mathematics LibreTexts
Many real-world phenomena can be modeled mathematically by using differential equations. Population growth, radioactive decay, predator-prey models, and spring-mass systems are four examples of such phenomena. In this chapter we study some of these applications.
Introduction to Differential Equations - Wolfram
Learn concepts and solution methods for differential equations. Covers first- and second-order equations, their applications and solving systems of equations. Includes video lessons, interactive notebooks, exercises and quizzes for self-assessment.
Introduction to differential equations | OpenLearn - Open …
2017年9月27日 · This free course, Introduction to differential equations, considers three types of first-order differential equations. Section 1 introduces equations that can be solved by direct integration and section 2 the method of separation of variables.
Differential Equations | Mathematics | MIT OpenCourseWare
Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE's) deal with functions of one variable, which can often be thought of as time.
7.1: An Introduction to Differential Equations
2023年9月29日 · A differential equation is an equation that describes the derivative, or derivatives, of a function that is unknown to us. For instance, the equation \[ \frac{dy}{dx} = x\sin x \nonumber \]
Differential Equations | Mathematics | MIT OpenCourseWare
Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the solutions. This course focuses on the equations and techniques most useful in science and engineering.
Differential Equations Part I Basic Theory - Coursera
The course is designed to introduce basic theory, techniques, and applications of differential equations to beginners in the field, who would like to continue their study in the subjects such as natural sciences, engineering, and economics etc.