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...M o p u c t a i d e n arficho j appl computat math l journal of doi h fo lanrissn uoj sci applied computational mathematics research article open access undetermined functions method for solving first order differential equations daniel department aksum university ethiopia abstract most authors used integrating factor to solve linear or der ordinary in this paper we introduce moreover derive solution without applying exactness condition keywords equivalent derivatives there exists by one can introduction manuscript equation is an that relates unknown and function more its with respect independent variables if the depends only on single variable such dependent y x defined many partial g it involve general given highest derivative xg appears are dx classified into two main categories other where exp ax interval satisfies identical all arbitrary parameters called here free particular which derivation de pendent expressed solely terms constants said be explicit relation implicit provided a...