symbolic solution of ODE

*To*: mathgroup at smc.vnet.net*Subject*: [mg71499] symbolic solution of ODE*From*: visbuga at purdue.edu*Date*: Mon, 20 Nov 2006 18:12:02 -0500 (EST)

Hello, I like to solve the ODE DSolve[w''''[z] - 2*t*w''[z] + k*w[z] == 0, w[z], z] by imposing the condition "t^2 < k" on constants in the eqn.In fact, solution of this homogenous ODE is known, but I want to see the result of mathematica to use in a complex eqn. Thank you. VV