## An Elementary Treatise on Partial Differential Equations: Designed for the Use of Students in the University |

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_ dz dz algebraical angle assume a formula ax+y Change of Independent coefficients connexion consideration considered contains f>(w curve's-tangent curved-surface determined Differential Calculus displacement diurnal motion dx dx dx dy dx dy dx dy du dv dy dx dy dy dy dz _ dz dz du _ dz du dz Equa expressed finite forced wave FUNCTIONS IN PROBLEM inclination-tangent independent variables Integrating with respect lunar force motion Multiply the successive MUSICAL STRINGS n)ir NUMBER OF UNDETERMINED obtained ordinate original equation parallel to yz parallel to zy Partial Differential Equations plane parallel plane yz process of Article Pz Pz represent second order SEPARATION OF SYMBOLS shew simple constant Simple Differential Equations SIMPLEST PARTIAL DIFFERENTIAL sines and cosines six functions SOLUTIONS OF PARTIAL solve the equation Substituting subtangent suppose tangent tions trigonometric function undetermined constant undetermined functions undetermined quantity value of x velocity vibration whence yfr(s