Solution of Partial Differential equation (PDE) involving derivatives with respect to one independent variable only

Solution of Partial Differential equation (PDE) involving derivatives with respect to one independent variable only   Topic Solution of Partial Differential equation (PDE) involving derivatives with respect to one independent variable only Problems Solve (del^2 z) / (del x^2) + z = 0 given that when x=0, z=e^y and del z / del x = 1 Solve del^2 z / del x^2 +3 del z / del x – 4z = 0 subject to the conditions that z=1 and del…

Solution of non-homogeneous Partial Differential Equation by direct integration

Solution of non-homogeneous Partial Differential Equation by direct integration Topic Solution of non-homogeneous Partial Differential Equation by direct integration Partial Differentiation Equation Problems Solve non-homogeneous Partial Differential Equation del^2 u/ del x^ 2 = x+y by direct integration Solve non-homogeneous Partial Differential Equation del ^2 z / (del x del y) = (x/y) + a by direct integration Solve non-homogeneous Partial Differential Equation (del^3 z) / (del x^2 del y) = cos(2x+3y) by direct integration Solve (del^2 z) / (del…

Partial Differentiation Equation (PDE) – Part II

Partial Differentiation Equation (PDE) Formation of Partial Differentiation Equation by eliminating arbitrary functions Some of the standard notations Topic Partial Differentiation Equation (PDE) - Part I Partial Differentiation Equation (PDE) - Part II Partial Differentiation Equation Problems Form the Partial differential equation by eliminating the arbitrary function for the equation z = f (x^2 + y^2) Form the Partial differential function by eliminating the arbitrary function for the equation z = y^2 +2 f (1/x + log y) Form the…

Partial Differentiation Equation (PDE) – Part I

Partial Differentiation Equation (PDE) Formation of Partial Differentiation Equation by eliminating arbitrary constants Topic Partial Differentiation Equation (PDE) Partial Differentiation Equation Problems Form the Partial Differential equation by eliminating the arbitrary constants from z = (x+a)(y+b) Form the Partial differential equation by eliminating the arbitrary constants from 2z = x^2/a^2 + y^2/b^2 Form the Partial differential equation by eliminating the arbitrary constants for the equation a x^2 + b y^2 + z^2 =1 Form the Partial differential equation by eliminating…