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 hyperbolic partial differential equation of order n {\displaystyle n} is a partial differential equation (PDE) that, roughly speaking...

In mathematics, a first-order partial differential equation is a partial differential equation that involves the first derivatives of an unknown function...

those functions. The term "ordinary" is used in contrast with partial differential equations (PDEs) which may be with respect to more than one independent...

A parabolic partial differential equation is a type of partial differential equation (PDE). Parabolic PDEs are used to describe a wide variety of time-dependent...

Second-order linear partial differential equations (PDEs) are classified as either elliptic, hyperbolic, or parabolic. Any second-order linear PDE in two...

Such an equation is an ordinary differential equation (ODE). A linear differential equation may also be a linear partial differential equation (PDE), if...

In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear terms. They describe many different...

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

characteristics is a technique for solving partial differential equations. Typically, it applies to first-order equations, though in general characteristic curves...