Bernoulli differential equation
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:application |
biology
engineering physics |
| gptkbp:canBeTransformedTo |
linear differential equation
|
| gptkbp:fieldOfStudy |
gptkb:mathematics
partial differential equations |
| gptkbp:form |
y' + P(x)y = Q(x)y^n
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bernoulli differential equation
|
| gptkbp:isLinearIf |
n = 0 or n = 1
|
| gptkbp:isNonlinearIf |
n ≠ 0, 1
|
| gptkbp:namedAfter |
gptkb:Jacob_Bernoulli
|
| gptkbp:parameter |
n
P(x) Q(x) |
| gptkbp:solvedBy |
substitution
integrating factor |
| gptkbp:bfsParent |
gptkb:Johann_Bernoulli
|
| gptkbp:bfsLayer |
6
|