Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:alsoKnownAs |
gptkb:Cauchy–Euler_equation
|
| gptkbp:application |
applied mathematics
engineering physics |
| gptkbp:field |
gptkb:mathematics
partial differential equations |
| gptkbp:form |
a x^2 y'' + b x y' + c y = 0
|
| gptkbp:generalizes |
constant-coefficient linear ODE
|
| gptkbp:hasCharacteristicEquation |
ar(r-1) + br + c = 0
|
| gptkbp:hasEquation |
linear ordinary differential equation
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euler–Cauchy equation
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
gptkb:Leonhard_Euler |
| gptkbp:order |
second order
|
| gptkbp:solvedBy |
reduction to constant-coefficient equation
substitution y = x^r |
| gptkbp:bfsParent |
gptkb:Cauchy–Euler_equation
|
| gptkbp:bfsLayer |
6
|