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
D^{4} w+ C* D^{2}w=0
where D^{4}= D^{2}*D^{2}, where the differential operator D^{2}= d^{2}/dx^{2} + 1/r d/dx
Since I am new I am not able to type in proper mathematical format for easy understanding.
operator D^{4} is equation (7) in the following link.
Biharmonic Equation -- from Wolfram MathWorld
and operator D^{2} 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.