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- W2014347764 abstract "Every linear differential equation of the second order may, as is known, be reduced to the form d / dx (1/P du / dx ) = u , . . . . . . (1) where P is any given function of x . On account of the great importance of this equation in mathematical physics (vibrations of a non-uniform stretched cord, of a hanging chain, water in a canal of non-uniform breadth and depth, of air in a pipe of non-uniform sectional area, conduction of heat along a bar of non-uniform fiction or non-uniform conductivity, Laplace’s differential equation of the tides, &c. &c.), I have long endeavoured to obtain a means of faciliiting its practical solution." @default.
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- W2014347764 date "1876-12-31" @default.
- W2014347764 modified "2023-09-24" @default.
- W2014347764 title "V. Mechanical integration of the linear differential equations of the second order with variable coefficients" @default.
- W2014347764 doi "https://doi.org/10.1098/rspl.1875.0035" @default.
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