Treatise on Differential Equations

arbitrary constants C₂ Cambridge Chap Chapter complete primitive condition Crelle's Journal Crown 8vo deduce derived determine dF dF dF dF dp dFdF differential coefficients dp dF dp dp dx dp dq dp dy dq dp du₁ dv dv dx dp dx dx dx dy dy dx dz dx₁ dx² dy dq dy dx dy dz dz dy dz dz Edition eliminate equa Eton College expression Extra fcap factor Fcap given equation Hence homogeneous function J. P. MAHAFFY Jacobi John's College Last Multiplier LATIN linear partial differential m₁ numerous ordinary differential equations Owens College P₁ partial differential equations particular integral Professor Boole reduced represent result shewn singular solution system of ordinary theorem theory tion transformation Trinity College u₁ u₂ values vanish whence X₁ y₁ аф