This paper investigates the least squares approach for finding approximate solutions to differential equations using discrete method. Our goal is to develop efficient numerical method (discrete method) for solving ordinary differential equations (ODEs). The L₂ norm along with the discrete least squares method (DLSM) has been used  to obtain the least approximation error and numerical approximate solution, respectively. Some examples are given to support the explicit results.

discrete least square method (DLSM), L₂ norm, differential equations.