Definition:General Solution to Differential Equation/Also known as
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General Solution to Differential Equation: Also known as
The general solution to 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 to $\Phi$.
The general solution to a differential equation can also be referred to as the general solution of a differential equation.
Some sources refer to this general solution as a general integral.
The term solution set is sometimes encountered.
Sources
- 1926: E.L. Ince: Ordinary Differential Equations ... (previous) ... (next): Chapter $\text I$: Introductory: $\S 1.2$ Genesis of an Ordinary Differential Equation
- 1956: E.L. Ince: Integration of Ordinary Differential Equations (7th ed.) ... (previous) ... (next): Chapter $\text {I}$: Equations of the First Order and Degree: $2$. Integration