DSolve[Derivative[1][y][x] == (-5 - 5*Sqrt[x] + 10*x - 6*x^3 + 14*x^(7/2) + (12*x^6)/5 - 5*Sqrt[x]*y[x] - 6*x^3*y[x])/(x*(-5 + 10*Sqrt[x] + 2*x^3 - 5*y[x])),y[x],x]