Euler's equation (differential equations)
GPTKB entity
Statements (18)
Predicate | Object |
---|---|
gptkbp:instanceOf |
partial differential equations
|
gptkbp:alsoKnownAs |
gptkb:Euler–Cauchy_equation
|
gptkbp:application |
applied mathematics
engineering mathematical physics |
gptkbp:firstPublished |
18th century
|
gptkbp:form |
a x^2 y'' + b x y' + c y = 0
|
gptkbp:generalSolution |
y = x^r
|
https://www.w3.org/2000/01/rdf-schema#label |
Euler's equation (differential equations)
|
gptkbp:namedAfter |
gptkb:Leonhard_Euler
|
gptkbp:order |
second order
|
gptkbp:relatedTo |
gptkb:Cauchy–Euler_equation
|
gptkbp:solvedBy |
power function solutions
reduction to constant-coefficient equation |
gptkbp:type |
linear differential equation
|
gptkbp:variableCoefficients |
yes
|
gptkbp:bfsParent |
gptkb:Euler_equation
|
gptkbp:bfsLayer |
6
|