Titlebook: New Trends in the Applications of Differential Equations in Sciences; NTADES 2023, Saints Angela Slavova Conference proceedings 2024 The E

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Graphical Portraits of the Solutions of Binary First Order Nonlinear Ordinary Differential Equation fficients near the critical (singular) point (0, 0) . The normal forms (A. Davydov, then T. Fukui) depend on a real parameter . and can be semicubic parabola, folded saddle point, folded node and folded focus. The corresponding graphical portraits in the plane are proposed in Theorem 2 and are illus

AMPLE

BLINK

Flawless

Visual-Acuity

DAUNT

Noisome

偏狂症

Definite/Indefinite Integrals Involving Non-integral Powers for Certain Trigonometric Functions Timeases are constructed through power series. Especially cases given by a trigonometric function are decomposed into smaller than or equal to components. Hypergeometric functions, Pochhammer functions, Gamma functions involved are easy to avoid overflow in numerical computation.

INCUR

Corral

Area and Perimeter Full Distribution Functions for Planar Poisson Line Processes and Voronoi Diagramalculated moments of areas and perimeters of any order (including expectation) of the random division of space in 1972. In the paper we calculate whole distribution function of random divisions of plane by Poisson line process. Our idea is to interpret a random polygon as the evolution of a segment