Dear all,

I am looking for solution of ODE with variable coefficients. The form of the equation is as follows:

Bi-harmonic-equation+ Constant * Laplace-equation = 0, which is can be written as

D4 w+ C* D2w=0

where D4= D2*D2, where the differential operator D2= d2/dx2 + 1/r d/dx

Since I am new I am not able to type in proper mathematical format for easy understanding.

operator D4 is equation (7) in the following link.
Biharmonic Equation -- from Wolfram MathWorld

and operator D2 is equation (3) in the following link.
Harmonic Function -- from Wolfram MathWorld


Could any one give me inputs for general solution to this differential equation.

Thanks.