A Treatise on Differential Equations, Volume 1 |
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2ndly arbitrary constants arbitrary function assume C₁ C₂ Cambridge Chap Chapter College complete primitive condition Crown 8vo curve d²u 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 dp dz dx dz dy dz dz Edition eliminating equa exact differential expressed Extra fcap fcap finite given equation Hence homogeneous functions Illustrations independent variable integrating factor involving method obtained ordinary differential equations P₁ partial differential equation particular integral primitive equation Professor reduced relation represent respect result satisfied second member second order Shew shewn singular solution substituting suppose symbolical theorem tion transformation whence X₁ y₁