key term - General Solution

Definition

The general solution is an expression that includes all possible solutions to a differential equation. It typically contains one or more arbitrary constants.

Related terms

Particular Solution:

A specific solution to a differential equation that satisfies additional given conditions or constraints.

Homogeneous Equation: A differential equation where all terms involving the dependent variable and its derivatives are set equal to zero.

Non-homogeneous Equation: A differential equation where terms involving the dependent variable and its derivatives are not set equal to zero.