Khan Academy
Khan Academy: Exact Equations and Integrating Factors: Exact Equations Example 1
In this video lesson students explore solving an exact differential equation.
Khan Academy
Khan Academy: Laplace Transform of T^n: L{t^n}
Video demonstrates finding the Laplace transform of t^n using integration by parts and using a pattern of values to develop a general formula.
Khan Academy
Khan Academy: Properties of the Laplace Transform: Laplace Transform of : L{t}
Video first reviews the Laplace transform of L{1} then uses it to help determine the Laplace transform of L{t}.
Khan Academy
Khan Academy: Laplace/step Function Differential Equation
Video demonstrates using the Laplace transform and inverse Laplace transform to solve a differential equation.
Khan Academy
Khan Academy: Calculus Ab Example Questions: 2011 Calculus Ab Free Response #5 C.
Solving a differential equation using separation of variables.
Khan Academy
Khan Academy: Using the Convolution Theorem to Solve an Initial Value Prob
Video shows how the convolution theorem can be used to solve an initial value problem and get it to an integral form
Khan Academy
Khan Academy: Second Order Linear Homogeneous Differential Equations 2
Video shows an example of solving a second order linear homogeneous differential equation. Includes how to write the solution in a general form using the properties of homogeneous equations.
Khan Academy
Khan Academy: The Convolution and the Laplace Transform
Video gives the convolution theorem showing how the convolution and Laplace transform are related, then shows an example applying the convolution theorem.
Khan Academy
Khan Academy: Exact Equations and Integrating Factors: Exact Equations Example 2
In this video lesson students explore more exact equation examples.
Khan Academy
Khan Academy: Second Order Linear Homogeneous Differential Equations 3
This video shows how to use some initial conditions to solve for a particular solution.
Khan Academy
Khan Academy: Laplace Transform of the Dirac Delta Function
Video first reviews what the Dirac delta function is, then shows how to determine the Laplace transform of the product of the Dirac delta function and another function.
Khan Academy
Khan Academy: Method of Undetermined Coefficients: Undetermined Coefficients 1
A video using the method of undetermined coefficients to solve nonhomogeneous linear differential equations.
Khan Academy
Khan Academy: Stokes' Theorem: Orienting Boundary With Surface
This video lesson shows the proper orientation of the boundary given the orientation of the surface.
Khan Academy
Khan Academy: Stokes' Theorem: Part 2 Parameterizing the Surface
This is part two on how to parameterize the surface.
Khan Academy
Khan Academy: Stokes' Theorem: Stokes' Theorem Intuition
Conceptual understanding of why the curl of a vector field along a surface would relate to the line integral around the surface's boundary.
Khan Academy
Khan Academy: Improper Integrals: Introduction to Improper Integrals
Watch a video to explore an introduction to improper integrals.
Khan Academy
Khan Academy: Separable Equations: Separable Differential Equations
This video is an introduction to separable differential equations.
Khan Academy
Khan Academy: Separable Equations: Separable Differential Equations 2
Video shows an example of solving a separable differential equation.
Khan Academy
Khan Academy: Ap Proximating Solution Curves in Slope Fields
Given the slope field of a differential equation, we can sketch various solutions to the equation.
PBS
Pbs Learning Media: Zombies and Calculus, Part 1
Learn about the math behind predator-prey population cycles in this video [4:28] from NOVA Digital. In this example, zombie and human populations fluctuate. The zombie population increases as zombies convert humans into zombies. However,...
Sophia Learning
Sophia: Matching Limits and Differential: Lesson 2
This lesson explains that the limits of integration must be kept in terms of the differential. It is 2 of 5 in the series titled "Matching Limits and Differential."
Sophia Learning
Sophia: Matching Limits and Differential: Lesson 3
This lesson explains that the limits of integration must be kept in terms of the differential. It is 3 of 5 in the series titled "Matching Limits and Differential."
Sophia Learning
Sophia: Matching Limits and Differential: Lesson 4
This lesson explains that the limits of integration must be kept in terms of the differential. It is 4 of 5 in the series titled "Matching Limits and Differential."
Sophia Learning
Sophia: Matching Limits and Differential: Lesson 5
This lesson explains that the limits of integration must be kept in terms of the differential. It is 5 of 5 in the series titled "Matching Limits and Differential."