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In this program

Classification
Canonical forms of second-order PDEs
Separation of variables for heat and wave equations
Laplace equations
Nonhomogeneous PDEs
Eigenfunction expansions
Green's functions for boundary-value problems (introduction)
Method of characteristics for first-order PDEs (brief)

Partial differential equations

Canonical forms of second-order PDEs

Advanced engineering mathematics · Standard syllabus

Topic

Canonical forms of second-order PDEs

Practice by unit: Partial differential equations

Undergraduate Advanced Engineering Mathematics — scope drawn from open advanced engineering math outlines (DE, linear algebra, transforms) and typical US syllabi.

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