How to Solve Partial Differential Equations?

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00:00 What is Separation of Variables good for?
00:23 Example: Separate 1d wave equation
  1. Physics by Alexander FufaeV
  2. product ansatz
  3. separation ansatz
  4. separation of variables
  5. how to solve pde
  6. separation of variables partial differential equations
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Books by Alexander Fufaev:
1) Equations of Physics: Solve EVERY Physics Problem
2) Alexander Fufaev and His Never Ending Story:

fufaev-alexander
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Bravo! You are the man to explain the things. Thx a lot.

RadulovicDragan
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Thank you so much! this really helped me in fluid mechanics :)

desireeharvell
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I just noticed that, on the video tab of your channel page, you have two videos with "separation of variables" in the thumbnail, almost next to each other, including this one. In this one you discuss the separation ansatz (or product ansatz) for solving partial differential eqns. In the other video, you discuss the separation of variables as a method for solving certain ordinary first order differential eqns. These are completely different things (as you explain in the videos). However, the thumbnail of this video reads "separation of variables", not "separation ansatz".

sebastiandierks