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| Try: sol = NDSolve[{x'[t] == x[t]*(1 - x[t])*(1/2 ((1 - (1 - x[t])^5)/x[t] - 3/5)), x[0] == 1/2}, x, {t, 0, 10}]; Plot[x[t] /. sol, {t, 0, 10}, PlotRange -> {Automatic, {0, 1}}, Epilog -> {Red, PointSize[0.02], Point[{0, 1/2}]}] |
| This has sorted it, thank you very much. |