周次: 10 日期: April 29, 2022 节次: 2 In today’s lecture, we are going to look at three typical applications of first-order differential equations. Analyzes an object moving along a straight line while subject to a force opposing its motion. A model of population growth which takes into account factors in the environment placing limits on growth. A...
周次: 10 日期: April 27, 2022 节次: 1 In this lecture, we talk briefly on the numerical method for solving an initial value problem for a general first order differential equation. The method is called Euler’s Method, it is the most simplest numerical method for solving a differential equation. Secondly, we will look at how to sketch graphical...
周次: 9 日期: April 22, 2022 节次: 2 In this lecture, we would like to give several examples on solving differential equations. Three examples will be shown. And Euler’s method for numerical solution for the initial value problem of differential equations will also be explored. Solving Linear Equations We solve the equation $$ \dfrac{dy}{dx} + P(x), y =...