Differential equations in physics

  • #1
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Can someone list to me (and whoever is going to view this thread) what topics in differential equations should be studied so that we can have a decent knowledge of the general physical theories in which they occur? (And I believe, they appear in all theories.)

So far, I believe the two most important for physics due to their occurrences in electroagnetism and quantum physics is

- Fourier analysis/ Fourier transform to solve diff equations

- Green's functions

Am I right that they are the two most important?
 

Answers and Replies

  • #2
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There’s also partial differential equations and boundary value problems Which pops up in many areas of physics
 
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  • #3
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Exact, and the Sturm-Liouvilles problem
 
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