{"product_id":"classification-and-examples-of-differential-equations-and-their-applications-9780367137243","title":"Classification and Examples of Differential Equations and Their Applications","description":"\u003cp\u003e • Author(s): Lu Braga da Costa Campos\u003cbr\u003e • Publisher: Taylor \u0026amp; Francis\u003cbr\u003e • Publisher Imprint: CRC Press\u003cbr\u003e • BISAC: Applied\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eClassification and Examples of Differential Equations and their Applications is the sixth book within \u003ci\u003eOrdinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. \u003c\/i\u003eAs a set, they are the fourth volume in the series \u003ci\u003eMathematics and Physics Applied to Science and Technology\u003c\/i\u003e. This sixth book consists of one chapter (chapter 10 of the set). It contains 20 examples related to the preceding five books and chapters 1 to 9 of the set. It includes two recollections: the first with a classification of differential equations into 500 standards and the second with a list of 500 applications.\u003c\/p\u003e\u003cp\u003eThe ordinary differential equations are classified in 500 standards concerning methods of solution and related properties, including: (i) linear differential equations with constant or homogeneous coefficients and finite difference equations; (ii) linear and non-linear single differential equations and simultaneous systems; (iii) existence, unicity and other properties; (iv) derivation of general, particular, special, analytic, regular, irregular, and normal integrals; (v) linear differential equations with variable coefficients including known and new special functions.\u003c\/p\u003e\u003cp\u003eThe theory of differential equations is applied to the detailed solution of 500 physical and engineering problems including: (i) one- and multidimensional oscillators, with damping or amplification, with non-resonant or resonant forcing; (ii) single, non-linear, and parametric resonance; (iii) bifurcations and chaotic dynamical systems; (iv) longitudinal and transversal deformations and buckling of bars, beams, and plates; (v) trajectories of particles; (vi) oscillations and waves in non-uniform media, ducts, and wave guides.\u003c\/p\u003e\u003cul\u003e \u003cli\u003eProvides detailed solution of examples of differential equations of the types covered in tomes l-5 of the set (\u003ci\u003eOrdinary Differential Equations with Applications to Trajectories and Vibrations, Six -volume Set)\u003c\/i\u003e \u003c\/li\u003e \u003cli\u003eIncludes physical and engineering problems that extend those presented in the tomes 1-6\u003ci\u003e (Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set)\u003c\/i\u003e \u003c\/li\u003e \u003cli\u003eIncludes a classification of ordinary differential equations and their properties into 500 standards that can serve as a look-up table of methods of solution\u003c\/li\u003e \u003cli\u003eCovers a recollection of 500 physical and engineering problems and sub-cases that involve the solution of differential equations\u003c\/li\u003e \u003cli\u003ePresents the problems used as examples including formulation, solution, and interpretation of results\u003c\/li\u003e \u003c\/ul\u003e","brand":"Taylor \u0026 Francis","offers":[{"title":"Hardcover","offer_id":45239972298903,"sku":"9780367137243","price":8798.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780367137243.webp?v=1769224132","url":"https:\/\/atlanticbooks.com\/products\/classification-and-examples-of-differential-equations-and-their-applications-9780367137243","provider":"Atlantic Books","version":"1.0","type":"link"}