In mathematics, an exact differential equation or total differential equation is a certain kind of ordinary differential equation which is widely used...

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

calculus, a differential or differential form is said to be exact or perfect (exact differential), as contrasted with an inexact differential, if it is...

equations are special because they are nonlinear differential equations with known exact solutions. A notable special case of the Bernoulli equation is...

A differential equation can be homogeneous in either of two respects. A first order differential equation is said to be homogeneous if it may be written...

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

In mathematics, the term exact equation can refer either of the following: Exact differential equation Exact differential form This disambiguation page...

A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, resulting in a solution...

In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function...

In mathematics, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless...

In mathematics, a linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives...

for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their...

An inexact differential equation is a differential equation of the form (see also: inexact differential) M ( x , y ) d x + N ( x , y ) d y = 0 ,  where ...

system of equations, which is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear...

In mathematics, an integro-differential equation is an equation that involves both integrals and derivatives of a function. The general first-order, linear...

In general relativity, an exact solution is a solution of the Einstein field equations whose derivation does not invoke simplifying assumptions, though...

sufficing in the absence of exact, analytic solutions. A partial differential equation (PDE) is a differential equation that contains unknown multivariable...

of differential form. In contrast, an integral of an exact differential is always path independent since the integral acts to invert the differential operator...

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

In mathematics, a Riccati equation in the narrowest sense is any first-order ordinary differential equation that is quadratic in the unknown function...

In the study of differential equations, a boundary-value problem is a differential equation subjected to constraints called boundary conditions. A solution...

differential equation Cauchy–Euler equation Riccati equation Hill differential equation Gauss–Codazzi equations Chandrasekhar's white dwarf equation Lane-Emden...

In mathematics, delay differential equations (DDEs) are a type of differential equation in which the derivative of the unknown function at a certain time...

integrating factor that makes entropy an exact differential. An integrating factor is any expression that a differential equation is multiplied by to facilitate...

and differential topology, a closed form is a differential form α whose exterior derivative is zero (dα = 0), and an exact form is a differential form...

tensor allows the EFE to be written as a set of nonlinear partial differential equations when used in this way. The solutions of the EFE are the components...

In mathematics, a system of differential equations is a finite set of differential equations. Such a system can be either linear or non-linear. Also, such...

the Helmholtz equation is the eigenvalue problem for the Laplace operator. It corresponds to the linear partial differential equation: ∇ 2 f = − k 2...

A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and...

Stochastic partial differential equations (SPDEs) generalize partial differential equations via random force terms and coefficients, in the same way ordinary...