Analytic solutions of some self-adjoint equations by using variable change method and its applications

Many applications of various self-adjoint differential equations,whose solutions are complex,are produced (arfken,1985; gandarias,2011; and delkhosh,2011). in this work we propose a method for the solving some self-adjoint equations with variable change in problem,and then we obtain a analytical solutions. because this solution,an exact analytical solution can be provided to us,we benefited from the solution of numerical self-adjoint equations (mohynl-din,2009; allame and azal,2011; borhanifar et al. 2011; sweilam and nagy,2011; gülsu et al. 2011; mohyud-din et al. 2010; and li et al. 1996). © copyright 2012 mehdi delkhosh and mohammad delkhosh.