Ordinary differential equations
Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; further developments in the theory of boundary problems; existence theorems, equations of first order; nonlinear equations of higher order; more. "Highly recommended" — Electronics Industries.
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Elementary Methods of Integration
The Existence and Nature of Solutions of Ordinary Differential
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Acad adjoint algebraic analytic arbitrary constants assumed asymptotic boundary conditions canonical characteristic equation characteristic numbers coefficients Consequently consider constants of integration continuous function contour converges corresponding curve degree dependent variable derived determined diagonal differential system equation becomes equation of order equivalent expression finite follows fundamental set given equation Green's homogeneous identically zero indicial equation infinite initial conditions initial value integer integral equation integral-curve integrating factor interval irreducible constants linear differential equation linear equation linearly independent Math matrix method movable critical points multiple negative neighbourhood obtained p-discriminant parameter partial differential equation particular solution point at infinity pole polynomial positive integer proved real axis reduces regular singular regular singular point relation replaced Riccati equation root second order set of solutions singular point singular solution substitution supposed transformation vanish Whittaker and Watson Wronskian z-plane