# Definition:Differential Equation/Solution Set

(Redirected from Definition: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.