I need help to find a solution to the differential equation bellow. The solution obtained with this code is zero in all the domain, and i think it should be a polinomial solution. Any hints? solu = NDSolve[{-z''[t] == (Sin[2 + z[t]] z[t]^2)/(1 + t)^4.5,z[0] == 0., z'[10000] == 0.}, z, {t, 0., 10000}, Method -> {"Shooting","StartingInitialConditions" -> {z[0] == 0., z'[0] == 0.15}}] LogLinearPlot[Chop[Evaluate[z[t] /. solu]], {t, 0.1, 10000}]