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1. Differential Equations

   Linked via "Method of Separation of Variables"

   Analytical Solutions for PDEs
   The analytical solution of PDEs often requires specialized techniques dependent on the equation's structure. For instance, the Method of Separation of Variables is highly effective for linear, homogeneous PDEs defined on simple geometries (e.g., rectangular domains). This method reduces the PDE into a set of simpler ODEs, whose solutions …