The Differential Equations Tutor: Vol 1- Online Video Lessons
This area contains the lessons for The Differential Equations Tutor, Vol 1 Tutorial Videos where we learn with detailed example problems how to solve ordinary linear differential equations (ODEs) of first order.
In this series we also learn how to obtain solutions of differential equations using various techniques and how to check our work. We also explore how to graph differential equations, which is something that every student in a diff equ course must master.
Section 1: What is a Differential Equation?
Section 2: Solving Elementary Differential Equations This section gives the student practice in solving elementary Differential Equation problems. The student is taught how to determine if a given function is a solution to an ODE. In addition, the student is taught how to perform integration on ODEs in order to calculate the general solution and also how to use the initial conditions to find the specific solution. . . . View the lesson
Section 3: Separation of Variables In this section, we learn our first major technique to solve a broad class of ordinary differential equations. The technique applies to first order differential equations and is called separation of variables because we break up the variables in such a way that integration is possible to find the solution. . . . View the lesson
Section 6: Exact Differential Equations In this section, we learn how to identify and test if an ordinary differential is "exact" in nature. If it is exact, we learn how to solve it by using the constraints placed upon Exact Differential Equations. Numerous examples are provided. . . . View the lesson
Section 10 - Applications of Differential Equations: Newton's Law of Cooling In this section, we apply the techniques and theory of solving differential equations to the problems involving Newton's Law of Cooling. This type of problem involves having a warm object in cooler surroundings such as a glass of water placed in a freezer. Newton's law of cooling is a differential equation that is used to calculate the temperature of the water as a function of time. . . . View the lesson