Progress in Signals and Telecommunication Engineering Sulaymon Eshkabilov 2 2 2013 http://www.dline.info/pste/fulltext/v2n2/1.pdf This paper presents essential points with applications of MATLAB/Simulink tools in solving initial value problems (IVP) of ordinary differential equations (ODEs) analytically and numerically. There are seven approaches of solving IVP of ODEs in MATLAB/Simulink are discussed via two different examples one which is simulation of thrown ball trajectories and the other is a non-homogeneous second order ODE. Comparative analyses of seven approaches are discussed by plotting their numerical results.