It is helpful, as a matter of notation first, to consider differentiation as an abstract operation that accepts a function and returns another function in the style of a higherorder function in computer science. It appears frequently in physics in places like the differential form of maxwells equations. Linear second order odes, homogeneous linear odes, nonhomogeneous linear odes, laplace transforms, linear algebraic equations, linear algebraic eigenvalue problems and systems of differential equations. Partial differential equations are fundamental tools in mathematics, sciences and engineering. West, december 26, 2006, prentice hall edition, in english.
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