Investigation of Behavior on Solutions of Lane–Emden Complex Differential Equations by a Random Differential Transformation Method

In this study, Lane–Emden complex differential equations have been randomized by selecting random variables for the coefficients, initial conditions, and force functions of equations. addition, finding solutions obtained equations, probability characteristics are examined. The version transformation method (DTM) is used to obtain an analytical solution close equation. Approximate expected values variances calculated using approximate method. some with gamma, normal, beta distributions were DTM shown graphically help MAPLE program.