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Differential Equations

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Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus playlist before starting here.

Self-Study Content
  1. What is a differential equation

    More free lessons at: http://www.khanacademy.org/video?v=-_POEWfygmU What a differential equation i

  2. Separable Differential Equations

    More free lessons at: http://www.khanacademy.org/video?v=C5-lz0hcqsE Introduction to separable diff

  3. Separable differential equations 2

    More free lessons at: http://www.khanacademy.org/video?v=xVWCfMe97ws Another separable differential

  4. Exact Equations Intuition 1 (proofy)

    More free lessons at: http://www.khanacademy.org/video?v=iEpqcdaJNTQ Chain rule using partial deriv

  5. Exact Equations Intuition 2 (proofy)

    More free lessons at: http://www.khanacademy.org/video?v=a7wYAtMjORQ More intuitive building blocks

  6. Exact Equations Example 1

    More free lessons at: http://www.khanacademy.org/video?v=Pb04ntcDJcQ First example of solving an ex

  7. Exact Equations Example 2

    More free lessons at: http://www.khanacademy.org/video?v=utQi1ZhF__Q Some more exact equation examp

  8. Exact Equations Example 3

    More free lessons at: http://www.khanacademy.org/video?v=eu_GFuU7tLI One more exact equation exampl

  9. Integrating factors 1

    More free lessons at: http://www.khanacademy.org/video?v=j511hg7Hlbg Using an integrating factor to

  10. Integrating factors 2

    More free lessons at: http://www.khanacademy.org/video?v=0NyeDUhKwBE Now that we've made the equati

  11. First order homegenous equations

    More free lessons at: http://www.khanacademy.org/video?v=9Wfn-WWV1aY Introduction to first order ho

  12. First order homogenous equations 2

    More free lessons at: http://www.khanacademy.org/video?v=6YRGEsQWZzY Another example of using subst

  13. 2nd Order Linear Homogeneous Differential Equations 1

    More free lessons at: http://www.khanacademy.org/video?v=UFWAu8Ptth0 Introduction to 2nd order, lin

  14. 2nd Order Linear Homogeneous Differential Equations 2

    More free lessons at: http://www.khanacademy.org/video?v=SPVqgkOZMAc Let's find the general solutio

  15. 2nd Order Linear Homogeneous Differential Equations 3

    More free lessons at: http://www.khanacademy.org/video?v=UyCwAFQt4v0 Let's use some initial conditi

  16. 2nd Order Linear Homogeneous Differential Equations 4

    More free lessons at: http://www.khanacademy.org/video?v=3uO_uPb9H8w Another example with initial c

  17. Complex roots of the characteristic equations 1

    More free lessons at: http://www.khanacademy.org/video?v=6xEO4BeawzA What happens when the characte

  18. Complex roots of the characteristic equations 2

    More free lessons at: http://www.khanacademy.org/video?v=jJyRrIZ595c What happens when the characte

  19. Complex roots of the characteristic equations 3

    More free lessons at: http://www.khanacademy.org/video?v=rGaM6pwqhB0 Lets do an example with initia

  20. Repeated roots of the characteristic equation

    More free lessons at: http://www.khanacademy.org/video?v=NW9JfMvIsxw What happens when the characte

  21. Repeated roots of the characterisitic equations part 2

    More free lessons at: http://www.khanacademy.org/video?v=YezsgIlcb68 An example where we use initia

  22. Undetermined Coefficients 1

    More free lessons at: http://www.khanacademy.org/video?v=znE4Nq9NJCQ Using the method of undetermin

  23. Undetermined Coefficients 2

    More free lessons at: http://www.khanacademy.org/video?v=hbJ2o9EUmJ0 Another example using undeterm

  24. Undetermined Coefficients 3

    More free lessons at: http://www.khanacademy.org/video?v=I3vIAzMcm4Y Another example where the nonh

  25. Undetermined Coefficients 4

    More free lessons at: http://www.khanacademy.org/video?v=vAepSNDLZRM Putting it all together!

  26. Laplace Transform 1

    More free lessons at: http://www.khanacademy.org/video?v=OiNh2DswFt4 Introduction to the Laplace Tr

  27. Laplace Transform 2

    More free lessons at: http://www.khanacademy.org/video?v=33TYoybjqPg Laplace transform of e^at

  28. Laplace Transform 3 (L{sin(at)})

    More free lessons at: http://www.khanacademy.org/video?v=gMcs6RF_LrQ Laplace Transform of sin(at) (

  29. Laplace Transform 4

    More free lessons at: http://www.khanacademy.org/video?v=-cApVwKR1Ps Part 2 of getting the Laplace

  30. Laplace Transform 5

    More free lessons at: http://www.khanacademy.org/video?v=E2VxbufzuWQ Useful properties of the Lapla

  31. Laplace Transform 6

    More free lessons at: http://www.khanacademy.org/video?v=fyJkXBvcA2Q Laplace transform of cosine an

  32. Laplace Transform to solve an equation

    More free lessons at: http://www.khanacademy.org/video?v=3uYb-RhM7lU Using the Laplace Transform to

  33. Laplace Transform solves an equation 2

    More free lessons at: http://www.khanacademy.org/video?v=EdQ7Q9VoF44 Second part of using the Lapla

  34. More Laplace Transform tools

    More free lessons at: http://www.khanacademy.org/video?v=_X_QwpXsdOs A grab bag of things to know a

  35. Using the Laplace Transform to solve a nonhomogenous eq

    More free lessons at: http://www.khanacademy.org/video?v=nlUG4OKN1IY Solving a non-homogeneous diff

  36. Laplace Transform of : L{t}

    More free lessons at: http://www.khanacademy.org/video?v=qhKJ1DG9kYY Determining the Laplace Transf

  37. Laplace Transform of t^n: L{t^n}

    More free lessons at: http://www.khanacademy.org/video?v=pZIaUx3UQoA Laplace Transform of t^n: L{t

  38. Laplace Transform of the Unit Step Function

    More free lessons at: http://www.khanacademy.org/video?v=4Mr7aEHQr8E Introduction to the unit step

  39. Inverse Laplace Examples

    More free lessons at: http://www.khanacademy.org/video?v=BbqbvSig6Mc Using our toolkit to take some

  40. Laplace/Step Function Differential Equation

    More free lessons at: http://www.khanacademy.org/video?v=R0JY8oWsuOY Hairy differential equation in

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