Thispaperpresentstwoexactexplicitsolutionsforthethreedimensionaldual-phaselag(DLP)heatconduc-tionequation,duringthederivationofwhichthemethodoftrialanderrorandtheauthors'previousexperiencesareuti-lized.Totheauthors'knowledge,mostsolutionsof2Dor3DDPLmodelsavailableintheliteratureareobtainedbynumericalmethods,andtherearefewexactsolutionsuptonow.Theexactsolutionsinthispapercanbeusedasbenchmarkstovalidatenumericalsolutionsandtodevelopnumericalschemes,gridgenerationmethodsandsoforth.Inaddition,theyareoftheoreticalsignificancesincetheycorrespondtophysicallypossiblesituations.Themaingoalofthispaperistoobtainsomepossibleexactexplicitsolu-tionsofthedual-phaselagheatconductionequationasthebenchmarksolutionsforcomputationalheattransfer,ratherthanspecificsolutionsforsomegiveninitialandboundaryconditions.Therefore,theinitialandboundaryconditionsareindeterminatebeforederivationandcanbededucedfromthesolutionsafterwards.Actually,allsolutionsgiveninthispapercanbeeasilyprovenbysubstitutingthemintothegoverningequation.
