all solutions of an equation is its solution set. An equation may be solved either numerically or symbolically. Solving an equation numerically means that...

\end{alignedat}}} One method for solving such a system is as follows. First, solve the top equation for x {\displaystyle x} in terms of y {\displaystyle...

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

are commonly used for solving differential equations on a computer. A partial differential equation (PDE) is a differential equation that contains unknown...

consisting of two expressions related with an equals sign is an equation. Solving an equation containing variables consists of determining which values of...

also refer to the computation of integrals. Many differential equations cannot be solved exactly. For practical purposes, however – such as in engineering –...

Solving these two linear equations provides the roots of the quadratic. For most students, factoring by inspection is the first method of solving quadratic...

methods for solving directly the equation, while software are available for automatically solving the corresponding system. When solving a system over...

small isolating intervals for real roots or disks for complex roots. Solving an equation f(x) = g(x) is the same as finding the roots of the function h(x)...

out X − α. Solving P(x) = 0 thus reduces to solving the degree n − 1 equation Q(x) = 0. See for example the case n = 3. To solve an equation of degree...

Mathworld - Quintic Equation – more details on methods for solving Quintics. Solving Solvable Quintics – a method for solving solvable quintics due to David...

specifically thermodynamics), the heat equation is a parabolic partial differential equation. The theory of the heat equation was first developed by Joseph Fourier...

faster matrix multiplication Solving systems of linear equations Biconjugate gradient method: solves systems of linear equations Conjugate gradient: an algorithm...

The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves...

improvements these methods cannot solve most Diophantine equations. The difficulty of solving Diophantine equations is illustrated by Hilbert's tenth...

Pell's equation, also called the Pell–Fermat equation, is any Diophantine equation of the form x 2 − n y 2 = 1 , {\displaystyle x^{2}-ny^{2}=1,} where...

Divide both sides by 2, This is a cubic equation in y. Solve for y using any method for solving such equations (e.g. conversion to a reduced cubic and...

(HHL) algorithm is a quantum algorithm for numerically solving a system of linear equations, designed by Aram Harrow, Avinatan Hassidim, and Seth Lloyd...

equation solver and library of built-in equations. This feature allows a multi-variable equation to be entered by the user, and the equation solved for...

polynomial equation for which one is interested only in the solutions which are integers is called a Diophantine equation. Solving Diophantine equations is generally...

equations in quantum mechanics List of equations in nuclear and particle physics Variables commonly used in physics Equation solving Theory of equations...

methods for solving differentiable equations to apply to solving difference equations, and therefore recurrence relations. Summation equations relate to...

could not solve this with a compass and straightedge construction, a task which is now known to be impossible. Methods for solving cubic equations appear...

be used for input and output. TK Solver has three ways of solving systems of equations. The "direct solver" solves a system algebraically by the principle...

computational chemistry and packages for physical computation solvers for differential equations Some include: graphic production and editing such as computer-generated...

differential equations and integral equations are functional equations. However, a more restricted meaning is often used, where a functional equation is an equation...

Miura developed the classical inverse scattering method to solve the KdV equation. The KdV equation was first introduced by Joseph Valentin Boussinesq (1877...

Solving the geodesic equations is a procedure used in mathematics, particularly Riemannian geometry, and in physics, particularly in general relativity...

Engineering Equation Solver (EES) is a commercial software package used for solution of systems of simultaneous non-linear equations. It provides many...

equivalent to solving for the true anomaly, or the difference between the true anomaly and the mean anomaly, which is called the "Equation of the center"...