A Treatise on Differential Equations: Supplementary Volume

arbitrary constants Chap Chapter cloth common integral complete primitive condition Crelle's Journal Crown 8vo d²f deduce derived determine dF dF dF dF dF dF dp dFdF differential coefficients dp dq dp dx dp dy dp₁ dq dp dx dp dp dx dx dx dy dy dx dz dx₁ dx² dy dp dy dx dy dz dz dy dz dz eliminate equa expression factor Fcap given equation Heir of Redclyffe Hence HENRY KINGSLEY homogeneous function independent variables infinite Jacobi Last Multiplier linear partial differential m₁ memoir obtain ordinary differential equations P₁ partial differential equations particular integral Professor Boole proposition reduced represent result Second Edition shewn singular solution system of ordinary theorem theory tion transformation u₁ U₂ values vanish whence x₁ y₁ аф