ordinary differential equation
C26954
concept
An ordinary differential equation is an equation involving an unknown function of a single independent variable and its derivatives, relating them through specified functional relationships.
All labels observed (2)
| Label | Occurrences |
|---|---|
| first-order nonlinear differential equation | 1 |
| ordinary differential equation canonical | 1 |
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: ordinary differential equation
Generated description
An ordinary differential equation is an equation involving an unknown function of a single independent variable and its derivatives, relating them through specified functional relationships.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Cauchy–Euler equation | — |
|
Bernoulli differential equations
surface form:
Bernoulli differential equation
|
first-order nonlinear differential equation |