Partial Differential Equations: An Essay Towards an Entirely New Method of Integrating Them |
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A₁ ad¸u arbitrary constants arbitrary functions C₁ C₂ Chapter commutative Comparing complete integral consequently corresponding ct³ d¸³u D₁u D₁x d₂ d³u derived diaphragm Divide dıd Dudu eliminate equa equal equivalent Essay F₁ final integral finite terms form of ƒ formula of Art ƒ Dr ƒ dt gives h+ak h+ka Hence ht+kx independent variables integrable equation integral in finite integral of equation integrate diu kx)² last example liberty to assume linear equation Multiply obtained partial differential equation phænomena posed equation preceding example proposed differential equation proposed equation quantity quasi-constants reduced represent result root-integral Ruled Surfaces satisfy second order shew symbolical integral symbols Dt symbols of operation ť² tion wave write x-at xd¸u