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Ordinary differential equations

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Ordinary differential equations --- Differential equations, Nonlinear. --- Nonlinear oscillations.

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A carefully revised edition of the well-respected ODE text, whose unique treatment provides a smooth transition to critical understanding of proofs of basic theorems. First chapters present a rigorous treatment of background material; middle chapters deal in detail with systems of nonlinear differential equations; final chapters are devoted to the study of second-order linear differential equations. The power of the theory of ODE is illustrated throughout by deriving the properties of important special functions, such as Bessel functions, hypergeometric functions, and the more common orthogonal polynomials, from their defining differential equations and boundary conditions. Contains several hundred exercises. Prerequisite is a first course in ODE.

Ordinary differential equations --- 517.91 --- Differential equations --- #TCPW W7.0 --- Equations, Differential --- Bessel functions --- Calculus --- Ordinary differential equations: general theory --- Differential equations. --- 517.91 Differential equations --- 517.91 Ordinary differential equations: general theory --- 517.91. --- Numerical solutions

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#TCPW W7.0 --- numeriek --- euler --- runge-kutta --- logistieke kromme --- lineair --- Laplace transformatie --- stelsels --- Fourierreeksen --- epidemies --- Differential equations --- differentiaalvergelijkingen --- stabiliteit --- 517.91 --- 517.91 Differential equations --- 517.91 Ordinary differential equations: general theory --- Ordinary differential equations: general theory --- Ordinary differential equations --- 517.91. --- Numerical solutions --- Differential equations. --- Equations différentielles

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Ordinary differential equations --- Delay differential equations --- Delay equations (Differential equations) --- Delay functional differential equations --- Differential delay equations --- Differential equations --- Differential equations with lag --- Functional differential equations --- Retarded argument (Differential equations) --- Retarded differential equations --- Retarded functional differential equations --- Time-lag systems (Differential equations) --- Delay equations --- Retarded argument --- Time-lag equations --- Delay differential equations. --- Équations différentielles à retard.