linear differential equation
C26955
concept
A linear differential equation is an equation involving an unknown function and its derivatives in which the function and its derivatives appear only to the first power and are not multiplied together, with coefficients that may depend on the independent variable.
All labels observed (4)
| Label | Occurrences |
|---|---|
| linear differential equation canonical | 1 |
| linear ordinary differential equation | 1 |
| ordinary differential equation type | 1 |
| type of ordinary differential equation | 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: linear differential equation
Generated description
A linear differential equation is an equation involving an unknown function and its derivatives in which the function and its derivatives appear only to the first power and are not multiplied together, with coefficients that may depend on the independent variable.
Instances (4)
| Instance | Via concept surface |
|---|---|
| Cauchy–Euler equation | — |
| Fuchsian differential equation | linear ordinary differential equation |
|
Bernoulli differential equations
surface form:
Bernoulli differential equation
|
type of ordinary differential equation |
| Riccati equation | ordinary differential equation type |