Cauchy–Euler equation

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf partial differential equations
gptkbp:alsoKnownAs gptkb:Euler–Cauchy_equation
gptkbp:application engineering
physics
gptkbp:category ordinary differential equation
gptkbp:field gptkb:mathematics
partial differential equations
gptkbp:form a x^2 y'' + b x y' + c y = 0
gptkbp:generalSolution y(x) = x^r
gptkbp:hasCharacteristicEquation ar(r-1) + br + c = 0
gptkbp:hasVariableCoefficients true
https://www.w3.org/2000/01/rdf-schema#label Cauchy–Euler equation
gptkbp:namedAfter gptkb:Augustin-Louis_Cauchy
gptkb:Leonhard_Euler
gptkbp:order second order
gptkbp:solvedBy power function solutions
reduction to constant-coefficient equation
gptkbp:type linear differential equation
gptkbp:bfsParent gptkb:Augustin-Louis_Cauchy
gptkbp:bfsLayer 5