Let $\Phi$ be a differential equation.
Any function $\phi$ which satisfies $\Phi$ is known as a solution of $\Phi$.
Note that, in general, there may be more than one solution to a given differential equation.
On the other hand, there may be none at all.
Also known as
Such a solution is known as a particular solution.
Some sources refer to such a solution as a specific solution.
- Definition:Solution Set of Differential Equation: the set of all solutions to a differential equation.