all solutions of an equation is its solution set. An equation may be solved either numerically or symbolically. Solving an equation numerically means that...
17 KB (2,343 words) - 13:28, 14 August 2024
are commonly used for solving differential equations on a computer. A partial differential equation (PDE) is a differential equation that contains unknown...
29 KB (3,628 words) - 15:16, 20 August 2024
In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with other...
44 KB (4,890 words) - 14:21, 20 August 2024
\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...
35 KB (5,562 words) - 17:48, 22 August 2024
consisting of two expressions related with an equals sign is an equation. Solving an equation containing variables consists of determining which values of...
32 KB (4,237 words) - 20:34, 10 August 2024
also refer to the computation of integrals. Many differential equations cannot be solved exactly. For practical purposes, however – such as in engineering –...
28 KB (3,919 words) - 15:32, 12 June 2024
solutions of the quadratic equation. Completing the square can be used to derive a general formula for solving quadratic equations, called the quadratic formula...
52 KB (6,460 words) - 10:28, 9 August 2024
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...
14 KB (2,162 words) - 02:58, 9 October 2023
improvements these methods cannot solve most Diophantine equations. The difficulty of solving Diophantine equations is illustrated by Hilbert's tenth...
33 KB (4,801 words) - 17:22, 11 August 2024
of electrostatics is setting up and solving problems described by the Poisson equation. Solving the Poisson equation amounts to finding the electric potential...
16 KB (2,242 words) - 22:18, 21 August 2024