A Treatise on Differential EquationsMacmillan, 1872 - 496 pagine |
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2ndly algebraic arbitrary constants arbitrary function assume C₁ C₂ Chap Chapter College complete primitive condition Crown 8vo curve deduce derived determined differential coefficients dp dy dt dt dv du dv dv dv dx dx dx dy dx dx dz dx² dy dy dy dz dz dx dz dy dz dz Edition elementary eliminating equa exact differential example expressed fcap finite given equation gives Hence homogeneous functions independent variable integrating factor involving Mdx+Ndy method Mx+Ny obtained ordinary differential equations P₁ partial differential equation Pdx+Qdy primitive equation problem reduced relation represent respect result satisfied second member second order Shew singular solution substituting suppose symbolical theorem tion transformation TREATISE whence X₁ y₁
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