mathematics, d'Alembert's equation, sometimes also known as Lagrange's equation, is a first order nonlinear ordinary differential equation, named after...

Encyclopédie. D'Alembert's formula for obtaining solutions to the wave equation is named after him. The wave equation is sometimes referred to as d'Alembert's equation...

specifically partial differential equations (PDEs), d´Alembert's formula is the general solution to the one-dimensional wave equation: u t t − c 2 u x x = 0 ,...

the coordinate functions xα (regarded as scalar fields) satisfies d'Alembert's equation. The parallel notion of a harmonic coordinate system in Riemannian...

above equation is often called d'Alembert's principle, but it was first written in this variational form by Joseph Louis Lagrange. D'Alembert's contribution...

excluded from D'Alembert's principle and do not need to be found. The generalized forces may be non-conservative, provided they satisfy D'Alembert's principle...

wave equation, it is clear that the first two terms are simply d'Alembert's formula, as stated above as the solution of the homogeneous wave equation in...

"Clairaut equation - Encyclopedia of Mathematics". encyclopediaofmath.org. Retrieved 2024-06-02. Weisstein, Eric W. "d'Alembert's Equation". mathworld...

u_{y})} is also known as Clairaut's equation. Mathematics portal D'Alembert's equation Chrystal's equation Legendre transformation Clairaut 1734. Kamke...

classical mechanics, Euler's rotation equations are a vectorial quasilinear first-order ordinary differential equation describing the rotation of a rigid...

named after the above d'Alembert's equation, also named after the above d'Alembert's formula, also named after the above d'Alembert's theorem, another name...

dynamics, d'Alembert's paradox (or the hydrodynamic paradox) is a paradox discovered in 1752 by French mathematician Jean le Rond d'Alembert. D'Alembert proved...

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions...

Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form...

function. Four-gradient d'Alembert's formula Klein–Gordon equation Relativistic heat conduction Ricci calculus Wave equation Bartelmann, Matthias; Feuerbacher...

Hamilton's equations consist of 2n first-order differential equations, while Lagrange's equations consist of n second-order equations. Hamilton's equations usually...

functional equation) g ( x + y ) + g ( x − y ) = 2 [ g ( x ) g ( y ) ] {\displaystyle g(x+y)+g(x-y)=2[g(x)g(y)]\,\!} (d'Alembert's functional equation) f (...

equation d'Alembert's form of the principle of virtual work d'Alembert's functional equation d'Alembert's formula d'Alembert's paradox d'Alembert's principle...

In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with any other...

theorem Cauchy equations Froude number Madelung equations Navier–Stokes equations Burgers equation Jeans equations Perfect fluid D'Alembert's paradox In 3D...

The electromagnetic wave equation is a second-order partial differential equation that describes the propagation of electromagnetic waves through a medium...

In physics, the Hamilton–Jacobi equation, named after William Rowan Hamilton and Carl Gustav Jacob Jacobi, is an alternative formulation of classical mechanics...

The fundamental theorem of algebra, also called d'Alembert's theorem or the d'Alembert–Gauss theorem, states that every non-constant single-variable polynomial...

Otherwise, Euler's equation may refer to a non-differential equation, as in these three cases: Euler–Lotka equation, a characteristic equation employed in mathematical...

experimental evidence, and became known as d'Alembert's paradox. In the 19th century the Navier–Stokes equations for the description of viscous flow were...

In physics, equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time. More specifically...

inhomogeneous electromagnetic wave equation, or nonhomogeneous electromagnetic wave equation, is one of a set of wave equations describing the propagation of...

of all complex analysis. The Cauchy–Riemann equations first appeared in the work of Jean le Rond d'Alembert. Later, Leonhard Euler connected this system...

systems. According to D'Alembert's principle, inclusion of inertial forces as additional body forces will give the virtual work equation applicable to dynamical...

propagation D'Alembert's wave equation Eikonal equation in wave propagation Euler–Poisson–Darboux equation in wave theory Helmholtz equation Chua's circuit...