Linear Differential Equations
GPTKB entity
Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:Physics
Economics Engineering Biology |
| gptkbp:canBe |
Partial differential equation
Ordinary differential equation |
| gptkbp:characterizedBy |
Linearity in the unknown function and its derivatives
|
| gptkbp:example |
y' + p(x)y = q(x)
y'' + a(x)y' + b(x)y = f(x) |
| gptkbp:field |
gptkb:Mathematics
gptkb:Differential_equations |
| gptkbp:homogeneity |
Homogeneous
Nonhomogeneous |
| https://www.w3.org/2000/01/rdf-schema#label |
Linear Differential Equations
|
| gptkbp:method |
Superposition principle
Integrating factor Variation of parameters |
| gptkbp:order |
First order
Higher order Second order |
| gptkbp:property |
Solutions form a vector space
Superposition of solutions is also a solution |
| gptkbp:relatedConcept |
Nonlinear differential equations
System of linear differential equations |
| gptkbp:studiedBy |
Engineers
Mathematicians |
| gptkbp:type |
Differential equation
|
| gptkbp:bfsParent |
gptkb:Superposition_Principle
|
| gptkbp:bfsLayer |
8
|