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517.91 --- Engineering mathematics --- #TELE:SISTA --- Engineering --- Engineering analysis --- Mathematical analysis --- 517.91 Differential equations --- Differential equations --- Numerical solutions --- Mathematics

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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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Topology --- Degree, Topological --- Differential equations --- Functional analysis --- Degré topologique --- Equations différentielles --- Analyse fonctionnelle --- Numerical solutions --- Solutions numériques --- Topological degree --- 517.9 --- -Functional analysis --- Degree (Topology) --- Degree theory --- Algebraic topology --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Equations, Differential --- Bessel functions --- Calculus --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Functional analysis. --- Topological degree. --- Numerical solutions. --- 517.91 Differential equations --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Degré topologique --- Equations différentielles --- Solutions numériques --- 517.91 --- Equations. --- Nonlinear theories. --- Équations. --- Théories non linéaires. --- Degré topologique. --- Numerical solutions&delete& --- Théories non linéaires --- Point fixe, Théorème du --- Differential equations - Numerical solutions