SIM E-ISSN 2382-672X P-ISSN 2382-6711
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# Archive of Mathematical Physics

ASTRALGO Science AMP series publishes the research and selected review articles as well as monographic texts, lecture notes and various thematic issues and proceedings.
BIG BANG Speed Test: Kron-Roth representations of circuits

## ASTRALGO Science AMP 011601050X

### Ordinary Differential Equations ÷ Harilikud diferentsiaalvõrrandid

E Paal, PhD

Hardback, Third Edition, 2016, A4, vii+104pp, in Estonian | Look preview

Description. Contents, Preface, 2 Sections with 42 subsections, 2 Fig, 7 Refs. Many examples. Part of the author's unique trilogy on the mathematical physics methods.

Contents. Preface. 1. First order equations: Introduction; Solution and integral curve; Taylor formula & Representations of a solution; Cauchy problem, General solution, particular solution, singular solution; Existence and uniqueness of solution; Separation of variables; Homogeneous eq; Linear & Linear fractional eqs; Lagrange method (n=1); Bernoulli eq; Exact eq; Integrating factor; Parametrization methods; Probems. 2. Higher order equations: Introduction. Representation of a solution by the Taylor series; Cauchy problem, general solution, particular solution, singular solution; Existence and uniqueness of solution; Eq order lowering methods; Properties of the linear equation & superposition principles; Wronski derivative & and linear dependence of functions; Fundamental solutions & General solution of a linear homogeneous eq; Reconstruction of a linear eq by its fundamental solutions; General solution of a non-homogeneous linear eq; Liouville eq & formula; Second order homogeneous eq with constant coefficients & Euler's trick; Linear homogeneous equation with constant coefficients; Method of undetermined coefficients; Lagrange method; Problems. References.

Series: ASTRALGO Science AMP - Archive of Mathematical Physics 2
ASBN: 011601050X

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