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Differential equations --- Equations, Differential --- Bessel functions --- Calculus --- Differential equations. --- 517.91 Differential equations --- 517.91. --- Numerical solutions --- 517.91

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

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Differential equations --- Perturbation (Mathematics) --- Numerical solutions --- -Perturbation (Mathematics) --- Perturbation equations --- Perturbation theory --- Approximation theory --- Dynamics --- Functional analysis --- Mathematical physics --- Equations, Differential --- Bessel functions --- Calculus --- Numerical solutions. --- 517.91 Differential equations --- Perturbation (Mathematics). --- 517.91 --- Numerical solutions&delete& --- Differential equations - Numerical solutions

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531.2 --- Statics. Forces. Equilibrium. Attraction --- 531.2 Statics. Forces. Equilibrium. Attraction --- -Mathematical analysis --- -Nonlinear mechanics --- Mechanics, Nonlinear --- Differential equations --- -531.2 --- Mechanics, Analytic --- 517.1 Mathematical analysis --- Mathematical analysis --- 517.91 Differential equations --- Congresses --- Mechanical properties of solids --- Mathematical physics --- 517.91 --- 517.1 --- Nonlinear mechanics --- Numerical solutions --- Congresses. --- Numerical solutions&delete& --- Mécanique --- Mathematical analysis - Congresses --- Differential equations - Congresses --- Nonlinear mechanics - Congresses --- -Numerical solutions