Definition:Differential Equation/Solution/General Solution

Definition
Let $\Phi$ be a differential equation. The solution set (or the solution) of $\Phi$ is the set of all functions $\phi$ that satisfy $\Phi$.

Also known as
The solution set of a differential equation $\Phi$ can also be referred to as the solution of $\Phi$, but beware of confusing this with the concept of a solution of $\Phi$.

The solution set of a differential equation can also be referred to as a solution set to a differential equation.

The term general solution is also frequently encountered.

Also see

 * Definition:Solution of Differential Equation