Inhomogeneous Differential Equations
Inhomogeneous differential equations, also known as nonhomogeneous differential equations, are a type of partial differential equation (PDE) or ordinary differential equation (ODE) in which the non-zero term is a function of the independent variable(s) and/or the dependent variable. In contrast, homogeneous differential equations have a zero term on one side of the equation.
Inhomogeneous differential equations are used to model various phenomena in physics, engineering, and mathematics, such as forced oscillations, heat transfer, and fluid dynamics. Solving inhomogeneous differential equations often involves techniques like variation of parameters, undetermined coefficients, or the use of Green’s functions.