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Species Order and Degree 3 General Solution Com
General equation Mdx + Ndy 0 23 Complete primitivezy 26
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2ndly admit algebraic arbitrary constants arbitrary function Chap Chapter co-ordinates complete primitive condition connexion corresponding Crelle's Journal curve deduce degree dependent derived determined differential coefficients dp dp dp dq dx dx dx dy dx dz dy dx dy dz dz dz eliminating ential equation envelope species equa equal equation given equation Mdx equivalent exact differential expression finite func given differential equation given equation gives Hence homogeneous functions independent variables integrating factor involving linear differential equation linear equation linear partial differential memoir method multiplying obtained ordinary differential equations partial differential equation particular integral primitive equation problem Prop proposition quantities reduced relation represent respect result second member second order shew shewn singular solution substituting suppose symbolical form Taylor's theorem theorem theory tion vanish whence