On meromorphic solutions of certain type of non-linear differential equations

We consider meromorphic solutions of non-linear differential equation of the formwhere Q d (z, f ) is a differential polynomial in f of degree d ≤ n -2 with rational functions as its coefficients, p 1 , p 2 are rational functions and α 1 , α 2 are polynomials.More precisely and mainly we have shown the conditions concerning α ′ 1 /α ′ 2 that will ensure the existence and forms of the possible meromorphic solutions of the above equation.These results have extended and improved some known results obtained most recently.