Abstruct : In this paper we introduced some of Runge-Kutta methods to solve (ODE) In which application,application we using the results of Runge-Kutta method to obtain the (Tree-graph ) then this trees are using generate trees . Where each node in the tree represents the calculated numerical values of the equation at each step. The method is also applied to an electrical containing a resistor ( R), a capacitor (C ),and an inductor (L), where the voltage damping equation is solved numerically and compared analytical solution .The research concludes that tree representations provide a clear view of the numerical evolution ,making them useful in other fields such as dynamic systems analysis. Key words : Runge-Kutta method,Electrical Circuit Equation, Tree structure , Differential equations, Numerical Analysis ,dynamical system.