solution in Laplace transform

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• Laplace transform — In mathematics, the Laplace transform is one of the best known and most widely used integral transforms. It is commonly used to produce an easily soluble algebraic equation from an ordinary differential equation. It has many important… …   Wikipedia

• Laplace transform — Math. a map of a function, as a signal, defined esp. for positive real values, as time greater than zero, into another domain where the function is represented as a sum of exponentials. Cf. Fourier transform. [1940 45; after P. S. LAPLACE] * * *… …   Universalium

• laplace transform — ləˈpläs , las noun Usage: usually capitalized L Etymology: after Pierre Simon de Laplace died 1827 French astronomer and mathematician : a transformation of a function f(x) into the function g(t) = ∫0∞ e xt f(x) dx that is useful especially in… …   Useful english dictionary

• Laplace transform — Etymology: Pierre Simon, Marquis de Laplace Date: 1942 a transformation of a function f(x) into the function g(t) = ∫0∞ e xt f(x) dx that is useful especially in reducing the solution of an ordinary linear differential equation with constant… …   New Collegiate Dictionary

• Laplace, Pierre-Simon, marquis de — born March 23, 1749, Beaumount en Auge, France died March 5, 1827, Paris French mathematician, astronomer, and physicist. He is best known for his investigations into the stability of the solar system and the theory of magnetic, electrical, and… …   Universalium

• Pierre-Simon Laplace — Laplace redirects here. For the city in Louisiana, see LaPlace, Louisiana. For the joint NASA ESA space mission, see Europa Jupiter System Mission. Pierre Simon, marquis de Laplace Pierre Simon Laplace (1749–1827). Posthumous portrait …   Wikipedia

• Bäcklund transform — In mathematics, Bäcklund transforms or Bäcklund transformations relate partial differential equations and their solutions. They are an important tool in soliton theory and integrable systems. A Bäcklund transform is typically a system of first… …   Wikipedia

• Integral transform — In mathematics, an integral transform is any transform T of the following form:: (Tf)(u) = int {t 1}^{t 2} K(t, u), f(t), dt.The input of this transform is a function f , and the output is another function Tf . An integral transform is a… …   Wikipedia

• integral transform — In mathematics, a function that results when a given function is multiplied by a so called kernel function, and the product is integrated (see integration) between suitable limits. Its value lies in its ability to simplify intractable… …   Universalium

• Discrete Laplace operator — For the discrete equivalent of the Laplace transform, see Z transform. In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid. For the case of a… …   Wikipedia

• Green's function for the three-variable Laplace equation — The free space Green s function for the three variable Laplace equation is given in terms of the reciprocal distance between two points. That is to say the solution of the equation : abla^2 G(mathbf{x},mathbf{x }) = delta(mathbf{x} mathbf{x }) is …   Wikipedia