格言
发表于 2025-3-25 05:09:07
Professionalisierungstheoretische Einbettungtions are presented, together with the techniques for obtaining their solutions (either in implicit or explicit form). The last section is dedicated to the Theorem of existence and uniqueness of the solution of the Cauchy problem for first-order differential equations.
镶嵌细工
发表于 2025-3-25 07:48:04
Kasseler Edition Soziale Arbeitcients are placed in the foreground, because in this case we have a closed-form solution for homogeneous equations, as well as for a wide class of non-homogeneous equations. We also present the Euler-type equations which have variable coefficients but can be transformed into linear equations with constant coefficients.
极肥胖
发表于 2025-3-25 15:12:03
Kasseler Edition Soziale Arbeit order linear equation. Autonomous systems are also studied, and, since first-order partial differential equations are closely related to autonomous systems, we present them in the last section of this chapter.
咽下
发表于 2025-3-25 17:02:24
https://doi.org/10.1007/978-3-658-24305-0f non-periodic functions defined on the whole set of real numbers. We present the properties and some applications of the Fourier transform. Finally, we introduce the discrete Fourier transform which can be used when a function is given only in terms of values at a finite number of points.
preservative
发表于 2025-3-25 22:10:56
https://doi.org/10.1007/978-3-658-24305-0in Chap. . we use the Laplace transform for the solution of the finite vibrating string equation. By using the Heaviside step function or the Dirac delta function, the Laplace transform can be applied in problems where the free term has some discontinuities or represents short impulses.
摇曳
发表于 2025-3-26 03:52:04
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不可接触
发表于 2025-3-26 08:19:23
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Adrenaline
发表于 2025-3-26 10:24:55
https://doi.org/10.1007/978-3-031-21502-5Fourier Transform; Laplace Transform; Equations of Physics; Hilbert Spaces; Complex Functions; Ordinary D
installment
发表于 2025-3-26 16:05:15
978-3-031-21504-9The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
滴注
发表于 2025-3-26 19:50:28
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