first integral
C23062
concept
A first integral is a function of the variables and their derivatives that remains constant along the solutions of a differential equation, representing a conserved quantity of the system.
All labels observed (1)
| Label | Occurrences |
|---|---|
| first integral canonical | 2 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: first integral
Generated description
A first integral is a function of the variables and their derivatives that remains constant along the solutions of a differential equation, representing a conserved quantity of the system.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Jacobi integral | — |
| Kovalevskaya integral | — |