Solve del^2 z / del x del y = x/y subject to condition del z / del x = log x when y=1 and z=0 when 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 z / del x =y when x=0

Solve del^2 z/ (del x^2) = xy subject to the condition that del z / del x = log (1+y) when x=1 and z=0 when x=0

Solve (del^2 u) / (del x del t) = e^(-t) cos x given that u=0 when t=0 and del u/del t=0 @ x=0, also Show that u -> sin x as t -> infinity

Solve (del^2 z) / (del x del y) = sinx siny for which del z/del y = -2 sin y when x=0 and z=0 if ‘y’ is an odd multiple of PI/2 (or z=0 if y = (2n+1) PI/2)

Solve non-homogeneous Partial Differential Equation (del^3 z) / (del x^2 del y) = cos(2x+3y) by direct integration

Solve non-homogeneous Partial Differential Equation del ^2 z / (del x del y) = (x/y) + a by direct integration

Form the Partial differential equation by eliminating the arbitrary function for the equation lx + my + nz = phi(x^2 + y^2 + z^2)

Form the Partial differential equation by eliminating the arbitrary function for the equation z = e^(ax+by) f(ax-by)

Form the Partial differential equation (PDE) by eliminating the arbitrary function for the equation z = e^y f(x+y)

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 differential equation by eliminating the arbitrary function for the equation z = f (x^2 + y^2)

Form the Partial differential equation by eliminating the arbitrary constants in the equation, x^2 / a^2 + y^2 / b^2 + z^2 /c^2 =1

Form the Partial differential equation by eliminating the arbitrary constants for the equation, z = xy + y sqrt(x^2 – a^2) +b

Find the Partial differential equation of the family of all spheres whose centre lie on the plane z=0 and have a constant radius ‘r’

Form the Partial differential equation by eliminating the arbitrary constants for the equation z = a log (x^2 + y^2) + b