Solving some kinds of non-linear homogeneous ordinary differential equations of second order

Abstract EN

In this paper ,we will find the solution of some kinds of homogeneous non-linear ordinary differential equations of second order which are defined as the following "The equation that each degree of any term in it is equal in the degree with the other terms in its dependent variable and derivatives ".Specific assumptions is used to find the general solution of these kinds of equations, this assumption transforms the non-linear differential equations of second order to the simple formula of differential equations of first order