Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:alsoKnownAs |
gptkb:Euler-Cauchy_equation
|
| gptkbp:application |
applied mathematics
engineering physics |
| gptkbp:field |
gptkb:mathematics
partial differential equations |
| gptkbp:form |
a_n x^n y^{(n)} + a_{n-1} x^{n-1} y^{(n-1)} + ... + a_0 y = 0
|
| gptkbp:hasGeneralSolution |
y = x^r, where r solves the indicial equation
|
| gptkbp:hasSpecialCase |
linear differential equation with variable coefficients
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy-Euler equation
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
gptkb:Leonhard_Euler |
| gptkbp:order |
linear ordinary differential equation
|
| gptkbp:solvedBy |
substitution y = x^r
reduction of order |
| gptkbp:bfsParent |
gptkb:Ordinary_Differential_Equations
|
| gptkbp:bfsLayer |
6
|