This 6-minute video lesson continues the discussion from the previous videos and introduces some initial conditions to solve for the particular solution. [Differential Equations playlist: Lesson 15 of 45]

This 9-minute video lesson continues the discussion from the previous videos and provides another example using initial conditions. [Differential Equations playlist: Lesson 16 of 45]

This 10-minute video lesson looks at what happens when the characteristic equations has complex roots. [Differential Equations playlist: Lesson 17 of 45]

This 10-minute video lesson continues the discussion of what happens when the characteristic equation has complex roots. [Differential Equations playlist: Lesson 18 of 45]

This 10-minute video lesson concludes the series on complex roots of characteristic equations and demonstrates an example with initial conditions. [Differential Equations playlist: Lesson 19 of 45]

This 18-minute video lesson provides an introduction to the Dirac Delta Function. [Differential Equations playlist: Lesson 41 of 45]

This 12-minute video lesson gives the first example of solving an exact differential equation. [Differential Equations playlist: Lesson 6 of 45]

This 8-minute video lesson provides some more examples of exact equations. [Differential Equations playlist: Lesson 7 of 45]

This 10-minute vidoe lesson provides one more exact equation example [Differential Equations playlist: Lesson 8 of 45]

This 10-minute video lesson provides intuiton on exact equations including the chain rule using partial derivatives (not a proof; more intuition). [Differential Equations playlist: Lesson 4 of 45]

This 11-minute video lesson provides more intuitive building blocks for exact equations. [Differential Equations playlist: Lesson 5 of 45]

This 7-minute video lesson provides an introduction to first order homogenous equations. [Differential Equations playlist: Lesson 11 of 45]

This 8-minute video lesson provides another example of using substitution to solve a first order homogeneous differential equations. [Differential Equations playlist: Lesson 12 of 45]

This 10-minute video lesson uses an integrating factor to make a differential equation exact. [Differential Equations playlist: Lesson 9 of 45]

This 8-minute video lesson concludes the previous video on integrating factors by solving the equation. [Differential Equations playlist: Lesson 10 of 45]

This 19-minute video lesson provides an introduction to the convolution. [Differential Equations playlist: Lesson 43 of 45]

This 19-minute video lesson shows how to use the toolkit to take some inverse Laplace Transforms. [Differential Equations playlist: Lesson 39 of 45]

This 19-minute video lesson looks at a hairy differential equation involving a step function that we use the Laplace Transform to solve. [Differential Equations playlist: Lesson 40 of 45]

This 8-minute video lesson provides an introduction to the Laplace Transform. [Differential Equations playlist: Lesson 26 of 45]

This 8-minute video lesson demonstrates Laplace transform of e^at. [Differential Equations playlist: Lesson 27 of 45]