Math Fortress
Differential Equations: Definitions and Terminology (Level 1 of 4)
This video introduces the basic definitions and terminology of differential equations. The topics covered include classification of differential equations by type, order and linearity.
Brian McLogan
General solution of a separable equation
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Math Fortress
Differential Equations: Definitions and Terminology (Level 4 of 4)
This video introduces the basic definitions and terminology of differential equations. This video goes over 8 examples covering how to classify Partial Differential Equations (PDE) by order and linearity.
Math Fortress
Differential Equations: Definitions and Terminology (Level 3 of 4)
This video introduces the basic definitions and terminology of differential equations. This video goes over 6 examples covering how to classify ordinary differential equations by order and linearity.
Math Fortress
Differential Equations: Solutions (Level 1 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. Topics covered include: Solution to an ODE, Interval of definition, and solution curves.
Math Fortress
Differential Equations: Families of Solutions (Level 1 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over families of solutions. In addition, particular solutions, general solutions, singular solutions, and...
Virtually Passed
A better way to understand Differential Equations | Nonlinear Dynamics (Part 4) | Index Theory
Index theory is a method used to gain global information about a nonlinear differential equation. One powerful insight is that closed orbits (periodic solutions) must have at least one fixed point inside of the curve. In fact, for a...
Math Fortress
Differential Equations: Systems of Differential Equations
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video covers the basics of systems of ordinary differential equations. This video also goes over two examples illustrating how to...
Zach Star
How Much Math do Engineers Use? (College Vs Career)
In this video I discuss "How much math do engineers use?" Specifically I dive into the math they use in college vs their career. For a video like this there isn't a right answer because there are millions of engineers out there all with...
Flipped Math
Calculus AB/BC - Exponential Models with Differential Equations
Exponential models come with a shortcut. Pupils watch an example of how to determine if a differential equation is an exponential model. Learners realize the solution is in the same formula, allowing for a quick way to determine the...
Flipped Math
Calculus AB/BC - Particular Solutions using Initial Conditions and Separation of Variables
Take the next step in separating. Pupils pick up from the previous lesson to now find the particular solution of a differential equation at a given point. Scholars watch three examples of finding the particular solution and hear the...
Flipped Math
Calculus AB/BC - General Solutions Using Separation of Variables
Viewers to learn how to solve a differential equation written implicitly. Pupils find out that they must first separate the variables to take the integral of each side before solving for y to arrive at a general solution for the...
Flipped Math
Calculus AB/BC - Sketching Slope Fields
Frolic through a field of slopes. Learners watch a video describing slope fields and how to create one. Scholars use given slope fields to determine the equation of a tangent line and the possible differential equation. Pupils continue...
Flipped Math
Calculus AB/BC - Verifying Solutions for Differential Equations
Find out if it is truly the solution. An informative presentation provides viewers with multiple examples of finding the particular solution to a differential equation. Learners find out how to verify the solution by differentiating the...
Flipped Math
Calculus AB/BC - Modeling Situations with Differential Equations
Differentiate between models. Pupils watch as the video works through three examples of creating a differential equation to model a situation. Scholars use their knowledge of proportional relationships to set up the equations and to...
Flipped Math
Calculus AB/BC - Exploring Behaviors of Implicit Relations
Put everything together implicitly. Pupils use their knowledge of implicit differentiation to determine whether a curve is increasing or decreasing or its concavity. Given a differential equation, scholars determine whether a specific...
Educator.com
Separation of Variables and Initial Value Problem
Ap Calculus classes learn how to solve a differential equation by getting like variables together with a video that presents an example of how to solve a differential equation by using the method of separation of variables. The...
Educator.com
Differential Equations and Initial Value Problems
Demonstrate working an initial value problem with an AP Calculus video that verifies that a family of functions is a solution to a differential equation by substitution. The presentation goes on to find a particular solution that...
Educator.com
Relative Rates of Growth
It's all relative! A video introduces the concept that the relative rate of growth is the rate of growth relative to the dependent variable, and then compares the equation of the standard model and the relative growth version.
Educator.com
Drawing Slope Fields
Work through an example on slope fields. In a video geared for AP Calculus, viewers watch as an instructor uses a slope field generator to produce a slope field and draws particular solutions for a given differential equation.
Khan Academy
Khan Academy: Differential Equations: What Is a Diferential Equation
Video gives an introduction to what differential equations are and shows how they are different from regular equations. Shows an example of a differential equation and how to check if a given answer is a correct solution to a...
Khan Academy
Khan Academy: Differential Equations: More Laplace Transform Tools
Video shows how to extend the derivative property of the Laplace transform to write the Laplace transform of higher order derivatives in terms of their original function. Shows an alternate notation of the Laplace transform and an...
Khan Academy
Khan Academy: Differential Equations: Laplace Transform 2
Video gives another example of using the Laplace transform to find Laplace transform table values. Includes an example of what it means for the Laplace transformation when the improper integral diverges and shows the connection between...
Khan Academy
Khan Academy: Differential Equations: Laplace Transform of Unit Step Function
Video first defines and shows a visualization of the unit step function and explains where it is useful in the real world. Shows how linear combinations of the unit step function can be used to created functions that model other...