{"entities":{"Q1648":{"pageid":3286,"ns":120,"title":"Item:Q1648","lastrevid":7295,"modified":"2026-09-03T19:39:51Z","type":"item","id":"Q1648","labels":{"en":{"language":"en","value":"Variation of parameters applied to y''-3y'+2y=e^x"}},"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":"Q1648$8E5852BA-AEFB-444E-B5DA-E616AF67C583","rank":"normal"}],"P4":[{"mainsnak":{"snaktype":"value","property":"P4","hash":"4dca87241ffa6021119af56301978dd2c4d52dbd","datavalue":{"value":"y_{1}=e^{x},\\\\quad y_{2}=e^{2x},\\\\quad W=y_{1}y_{2}'-y_{2}y_{1}'=e^{3x};\\\\qquad u_{1}'=-\\\\frac{y_{2}\\\\,g}{W}=-1,\\\\quad u_{2}'=\\\\frac{y_{1}\\\\,g}{W}=e^{-x}","type":"string"},"datatype":"string"},"type":"statement","id":"Q1648$A4EFD081-B074-4475-959E-AA9E8E7A0249","rank":"normal"}]},"sitelinks":{}}}}