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

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

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

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

\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...

solutions of the quadratic equation. Completing the square can be used to derive a general formula for solving quadratic equations, called the quadratic formula...

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

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...

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

of electrostatics is setting up and solving problems described by the Poisson equation. Solving the Poisson equation amounts to finding the electric potential...