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Ordinary And Partial Differential Equations
by M.D. Raisinghania
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12
Part I : Elementary Differential Equations Introduction * Equatiions of first order and first degree * Trajectories * Linear Equations with constant * coefficiensts * Homogeneous Linear equations or Cauchy - Euler equations of the first order but not of the first degree and singular solutions - Extraneous Ioci * Ordinary Simultaneous Differential equations Part II : Ordinary Interative methods * Existence and uniquencess theorems * Independence of solutions of Linear differential equations * Wornskian and its properties * Exact Differential equations and wquations of special forms * Linear Equations of second order * Simultaneolus equations of the form dx/p = dy/Q =dz/r * Total differential equations * Leendre Polynomials and Funtions * Legendre functions of second Kind * Bassel functions * Hermite polynomials * Laguerre Polynomials * Hyper - geometric function * Part III : Partial Differential Equations Linear Partial differential equations of order one * NOn-linear partialdifferential equations of oreer one * Partial differential equation of the second order * Linear partial differential wquations with constant coefficients * Partiial Diffeential equations of order two with available coefficients * Monge`s methods * Appendices * ISBN : 9788121908924
Pages : 576
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