A Treatise on Differential Equations

2ndly algebraic arbitrary constant arbitrary function axis C₁ C₂ Cambridge Chap cloth complete primitive condition dy corresponding Crown 8vo d³y deduce degree derived determined differential coefficients dp dy dt dt dv dv dx dx dx² dy dx dy dy dy dz dz dz eliminating envelope species equa equal equation dy equation Mdx exact differential expression Fcap finite given curve given equation gives Hence homogeneous equations homogeneous functions integrating factor intrinsic equation linear equation method Mx+Ny obtained P₁ partial differential equation particular integral primitive equation proposed equation reduced relation represent respect result satisfied second member second order Shew singular solution substituting supposed symbolical tangent theorem tion transformation V₁ V₂ whence Y₁ аф