In this paper we have been discussed the analysis of solving inductance L and resistance R circuit by using first order linear differential equation and also solved numerical methods. Here we have choosen a L-R circuit and assigned the constant values of voltage, inductance and resistance and by assigning the different values for time, the results of current have been studied by the differential equation. Introducing the higher values in the above circuit of first order differential equation, the obtained results were compared with numerical method, RK Method and Taylor’s Series method, the obtained results were in the divergent values.