[ FreeCourseWeb ] Higher-Order Differential Equations and Elasticity

[ FreeCourseWeb.com ] Higher-Order Differential Equations and Elasticity

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English | 2019 | ISBN-13: 978-0367137205 | 393 Pages | True PDF | 10.22 MB

Higher-Order Differential Equations and Elasticity is the third book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This third book consists of two chapters (chapters 5 and 6 of the set).

The first chapter in this book concerns non-linear differential equations of the second and higher orders. It also considers special differential equations with solutions like envelopes not included in the general integral. The methods presented include special differential equations, whose solutions include the general integral and special integrals not included in the general integral for myriad constants of integration. The methods presented include dual variables and differentials, related by Legendre transforms, that have application in thermodynamics.

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