The Doctrine of Germs, Or, The Integration of Certain Partial Differential Equations which Occur in Mathematical Physics |
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The Doctrine of Germs, Or, the Integration of Certain Partial Differential ... Samuel Earnshaw No preview available - 2015 |
The Doctrine of Germs, Or, the Integration of Certain Partial Differential ... Samuel Earnshaw No preview available - 2012 |
Common terms and phrases
arbitrary function assume c¹y complete general integral complete integral condition contained cos² d²u d'u dę dn deduced denoted disposable constants dn² dv dv dx dy dx² dy² dz² eliminate equa equal equation d'u d'u exponential integral expression family of subintegrals finite form finite terms following equation following form germ g gral Hence homogeneous independent arbitrary constants independent germs independent minor germs independent variables infinite series integral of Laplace's integrational difficulty Laplace's equation Laplace's Functions linear differential equation major germ obtain odd powers PARTIAL DIFFERENTIAL EQUATIONS pendent variables positive integer powers preceding Article proposed equation quantities real germs represent result second subgeneral shews subgeneral integrals substituted symbolically equivalent take a minor takes the following Taylor's Theorem write zero αξ