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 lx + my + nz = phi(x^2 + y^2 + z^2)

Problem

Question

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

Topic

Partial Differentiation Equation (PDE) – Part I
Partial Differentiation Equation (PDE) – Part II

Partial Differentiation Equation Problems

1. Form the Partial differential equation by eliminating the arbitrary function for the equation z = f (x^2 + y^2)
2. Form the Partial differential function by eliminating the arbitrary function for the equation z = y^2 +2 f (1/x + log y)
3. Form the Partial differential equation (PDE) by eliminating the arbitrary function for the equation z = e^y f(x+y)
4. Form the Partial differential equation by eliminating the arbitrary function for the equation z = e^(ax+by) f(ax-by)
5. Form the Partial differential equation by eliminating the arbitrary function for the equation lx + my + nz = phi(x^2 + y^2 + z^2)