{"entities":{"Q1989":{"pageid":3915,"ns":120,"title":"Item:Q1989","lastrevid":8851,"modified":"2026-10-04T14:09:04Z","type":"item","id":"Q1989","labels":{"en":{"language":"en","value":"Exactness criterion for a first-order differential equation"}},"descriptions":{},"aliases":{},"claims":{"P1":[{"mainsnak":{"snaktype":"value","property":"P1","hash":"6056844c4a6d3699fbafab69805eed5ca36eab0e","datavalue":{"value":{"entity-type":"item","numeric-id":4,"id":"Q4"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","id":"Q1989$203DB5F9-536A-44BA-8B6B-D66F5664A55C","rank":"normal"}],"P4":[{"mainsnak":{"snaktype":"value","property":"P4","hash":"b86303904d04fb68f29a1a85c246213590d99ef0","datavalue":{"value":"\\\\frac{\\\\partial M}{\\\\partial y}=\\\\frac{\\\\partial N}{\\\\partial x}\\\\ \\\\Longrightarrow\\\\ M(x,y)\\\\,dx+N(x,y)\\\\,dy=0\\\\ \\\\text{is exact}","type":"string"},"datatype":"string"},"type":"statement","id":"Q1989$DF0343D9-AF01-4DC3-8C4D-EA79B8A56106","rank":"normal"}],"P29":[{"mainsnak":{"snaktype":"value","property":"P29","hash":"7d5e45cd1a757d09ef72a6da768040872bfab8c9","datavalue":{"value":{"entity-type":"item","numeric-id":1985,"id":"Q1985"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","id":"Q1989$725A50F4-AD3C-40BF-BB91-686138BC8669","rank":"normal"}]},"sitelinks":{}}}}