@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix schema: <http://schema.org/> .
@prefix cc: <http://creativecommons.org/ns#> .
@prefix geo: <http://www.opengis.net/ont/geosparql#> .
@prefix prov: <http://www.w3.org/ns/prov#> .
@prefix wd: <https://wikibase.ronzz.org/entity/> .
@prefix data: <https://wikibase.ronzz.org/wiki/Special:EntityData/> .
@prefix wds: <https://wikibase.ronzz.org/entity/statement/> .
@prefix wdref: <https://wikibase.ronzz.org/reference/> .
@prefix wdv: <https://wikibase.ronzz.org/value/> .
@prefix wdt: <https://wikibase.ronzz.org/prop/direct/> .
@prefix wdtn: <https://wikibase.ronzz.org/prop/direct-normalized/> .
@prefix p: <https://wikibase.ronzz.org/prop/> .
@prefix ps: <https://wikibase.ronzz.org/prop/statement/> .
@prefix psv: <https://wikibase.ronzz.org/prop/statement/value/> .
@prefix psn: <https://wikibase.ronzz.org/prop/statement/value-normalized/> .
@prefix pq: <https://wikibase.ronzz.org/prop/qualifier/> .
@prefix pqv: <https://wikibase.ronzz.org/prop/qualifier/value/> .
@prefix pqn: <https://wikibase.ronzz.org/prop/qualifier/value-normalized/> .
@prefix pr: <https://wikibase.ronzz.org/prop/reference/> .
@prefix prv: <https://wikibase.ronzz.org/prop/reference/value/> .
@prefix prn: <https://wikibase.ronzz.org/prop/reference/value-normalized/> .
@prefix wdno: <https://wikibase.ronzz.org/prop/novalue/> .

data:Q1646 a schema:Dataset ;
	schema:about wd:Q1646 ;
	cc:license <https://creativecommons.org/licenses/by-sa/4.0/> ;
	schema:softwareVersion "1.0.0" ;
	schema:version "7291"^^xsd:integer ;
	schema:dateModified "2026-09-03T19:39:50Z"^^xsd:dateTime ;
	wikibase:statements "2"^^xsd:integer ;
	wikibase:sitelinks "0"^^xsd:integer ;
	wikibase:identifiers "0"^^xsd:integer .

wd:Q1646 a wikibase:Item ;
	wdt:P1 wd:Q4 ;
	wdt:P4 "y''+p(x)\\\\,y'+q(x)\\\\,y=g(x),\\\\qquad y=y_{c}+y_{p},\\\\qquad y_{c}''+p(x)\\\\,y_{c}'+q(x)\\\\,y_{c}=0" ;
	p:P1 wds:Q1646-DF3FEB04-FDAB-4EFE-BA9F-6D11B7315E28 .

wds:Q1646-DF3FEB04-FDAB-4EFE-BA9F-6D11B7315E28 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P1 wd:Q4 .

wd:Q1646 p:P4 wds:Q1646-FF9CCE9B-8541-49A2-8855-3244EF252B93 .

wds:Q1646-FF9CCE9B-8541-49A2-8855-3244EF252B93 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 "y''+p(x)\\\\,y'+q(x)\\\\,y=g(x),\\\\qquad y=y_{c}+y_{p},\\\\qquad y_{c}''+p(x)\\\\,y_{c}'+q(x)\\\\,y_{c}=0" .

wd:Q1646 rdfs:label "Forced linear equation and its complementary and particular solutions"@en ;
	skos:prefLabel "Forced linear equation and its complementary and particular solutions"@en ;
	schema:name "Forced linear equation and its complementary and particular solutions"@en .

wd:Q4 a wikibase:Item ;
	rdfs:label "mathematical expression"@en ;
	skos:prefLabel "mathematical expression"@en ;
	schema:name "mathematical expression"@en ;
	schema:description "a mathematical expression embedded on a page"@en .

wd:P1 a wikibase:Property ;
	rdfs:label "instance of"@en ;
	skos:prefLabel "instance of"@en ;
	schema:name "instance of"@en ;
	schema:description "that class of which this subject is a particular example and member"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#WikibaseItem> ;
	wikibase:directClaim wdt:P1 ;
	wikibase:claim p:P1 ;
	wikibase:statementProperty ps:P1 ;
	wikibase:statementValue psv:P1 ;
	wikibase:qualifier pq:P1 ;
	wikibase:qualifierValue pqv:P1 ;
	wikibase:reference pr:P1 ;
	wikibase:referenceValue prv:P1 ;
	wikibase:novalue wdno:P1 .

p:P1 a owl:ObjectProperty .

psv:P1 a owl:ObjectProperty .

pqv:P1 a owl:ObjectProperty .

prv:P1 a owl:ObjectProperty .

wdt:P1 a owl:ObjectProperty .

ps:P1 a owl:ObjectProperty .

pq:P1 a owl:ObjectProperty .

pr:P1 a owl:ObjectProperty .

wdno:P1 a owl:Class ;
	owl:complementOf _:b96ec5135b6832e1d84209d72460276b .

_:b96ec5135b6832e1d84209d72460276b a owl:Restriction ;
	owl:onProperty wdt:P1 ;
	owl:someValuesFrom owl:Thing .

wd:P4 a wikibase:Property ;
	rdfs:label "LaTeX source"@en ;
	skos:prefLabel "LaTeX source"@en ;
	schema:name "LaTeX source"@en ;
	schema:description "the LaTeX source of this mathematical expression"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#String> ;
	wikibase:directClaim wdt:P4 ;
	wikibase:claim p:P4 ;
	wikibase:statementProperty ps:P4 ;
	wikibase:statementValue psv:P4 ;
	wikibase:qualifier pq:P4 ;
	wikibase:qualifierValue pqv:P4 ;
	wikibase:reference pr:P4 ;
	wikibase:referenceValue prv:P4 ;
	wikibase:novalue wdno:P4 .

p:P4 a owl:ObjectProperty .

psv:P4 a owl:ObjectProperty .

pqv:P4 a owl:ObjectProperty .

prv:P4 a owl:ObjectProperty .

wdt:P4 a owl:DatatypeProperty .

ps:P4 a owl:DatatypeProperty .

pq:P4 a owl:DatatypeProperty .

pr:P4 a owl:DatatypeProperty .

wdno:P4 a owl:Class ;
	owl:complementOf _:c298799f0cd3665c958b9d4edf0ffbf3 .

_:c298799f0cd3665c958b9d4edf0ffbf3 a owl:Restriction ;
	owl:onProperty wdt:P4 ;
	owl:someValuesFrom owl:Thing .