The partial derivative only acts on one the variables on the equations and treats the others as constant.
A book to introduce engineering and physics students to areas of math that seem to be most important in relation to practical problems. Book was first published in 1962 - so it is a bit out of date - and has had several reprints. Erwin Kreyszig (Jan 6, 1922 - December 12, 2008) was Professor of at Ohio State University, later moved to Carleton University in Ottawa). The book covers: Ordinary Differential Equations; Ordinary Linear Differential Equations; Power Series Solutions of Diff. Equations; Laplace Transform; Vector Analysis; Line and Surface Integrals; Systems of Linear Equations; Fourier Series and Integrals; Partial Differential Equations; Complex analytic Functions; Conformal Mapping; Complex Integrals; and so on. A very useful book when I did my engineering, though it must be out of date now. GSC
Homogeneous differential equations have all terms involving the dependent variable and its derivatives, while non-homogeneous equations include additional terms independent of the dependent variable.
z=pq
Laplace transforms to reduce a differential equation to an algebra problem. Engineers often must solve difficult differential equations and this is one nice way of doing it.
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