OK so i finished my first course of Differential equations at Uni and i have some curious questions(adsbygoogle = window.adsbygoogle || []).push({});

The last equations we solved were PDEs solved with Variation of parameters and having to homogenize the boundary conditions

They were all Sturm-Liouville problems as they called them, we assumed that the function itself u(x,t) could be written via multiplication of 2 functions X(x) and T(t) and then one solved for each.

Stuff such as Heat diffusion, the Wave equation, The Laplace equation in 2D were solvable with these methods

The question is, where does it go from here in therms of DEs? Is there more to it or the rest are only numerical methods to solve more complicated DEs?

Just a question that spawned in my mind, i'm only in second year right now so i still have a long way to go before i get the physics degree i'm after

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# Curiosity thread about PDE

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