The standard syllabus focuses heavily on the .
: Detailed look at the three main second-order PDEs: partial differential equations titas pdf
Deep dives into the Method of Separation of Variables and the use of Integral Transforms (like Fourier and Laplace transforms) to solve initial-boundary value problems. R$ are functions of $x
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The standard form of a linear first-order PDE is: $$Pp + Qq = R$$ Where $P, Q, R$ are functions of $x, y, z$ and $p = \frac\partial z\partial x, q = \frac\partial z\partial y$. q = \frac\partial z\partial y$.