A Treatise on Differential Equations

2ndly arbitrary constant arbitrary function C₁ C₂ Cambridge Chap cloth complete primitive condition corresponding Crown 8vo curve d²u d³y deduce degree derived determined differential coefficients dp dq dp dy dv du dv dv dv dv dx dx dx dx dy dx dz dx² dy dx dy dy dy dz dz dz eliminating equa equation Mdx exact differential expression Fcap finite given equation Hence homogeneous equations homogeneous functions independent variable integrating factor linear equation Mdx+Ndy method Mx+Ny obtained ordinary differential equations partial differential equation particular integral primitive equation reduced relation represent respect result satisfied second member second order Shew singular solution substituting supposed Taylor's theorem theorem tion transformation V₂ whence Y₁