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In this program

Separation of variables for linear PDEs with homogeneous BCs
Eigenvalue problems arising from separation
Superposition
The general solution structure
Sturm–Liouville theory (introduction at undergraduate level)
Laplace's equation in a rectangle

Separation of variables

Eigenvalue problems arising from separation

Partial differential equations · STEM / applied

Topic

Eigenvalue problems arising from separation

Practice by unit: Separation of variables

Undergraduate Partial Differential Equations — scope drawn from typical US intro PDE syllabi and open PDE notes (separation of variables, Fourier series, classic equations).

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