Y2'= ((3 + I*Sqrt[7])*(7*(9*I + 5*Sqrt[7])*Y0^4*Y3 + 
    2*Y0^2*(4*(21*I + Sqrt[7])*Y2^2 - (7*I + 11*Sqrt[7])*Y3) + 
    Y3*(-49*I - 13*Sqrt[7] - (49*I + 13*Sqrt[7])*Y2^2 + 
      8*(-7*I + 5*Sqrt[7])*Y3 + (49*I + 13*Sqrt[7])*Y3^2) - 
    Y0*((-21*I + 31*Sqrt[7])*Y2^3 + Y2*Y3*(112*I + 48*Sqrt[7] + (21*I)*Y3 - 
        31*Sqrt[7]*Y3))))/(8*Y0*((-21*I + 31*Sqrt[7])*Y2^2 + 
    (-35*I + 9*Sqrt[7])*Y3^2));
Y3'= ((-3*I + Sqrt[7])*((-21 - (31*I)*Sqrt[7])*Y2^3 + 
    Y0*Y2^2*(-168 + (8*I)*Sqrt[7] + 49*Y3 - (13*I)*Sqrt[7]*Y3) + 
    Y0*Y3^2*(56 + (40*I)*Sqrt[7] - 49*Y3 + (13*I)*Sqrt[7]*Y3) + 
    Y2*(-21 - (31*I)*Sqrt[7] + 7*(13 + (7*I)*Sqrt[7])*Y0^4 + 
      8*(21 - I*Sqrt[7])*Y3 + (21 + (31*I)*Sqrt[7])*Y3^2 + 
      Y0^2*(-70 - (18*I)*Sqrt[7] + (-56 - (40*I)*Sqrt[7])*Y3))))/
  (8*Y0*((-21*I + 31*Sqrt[7])*Y2^2 + (-35*I + 9*Sqrt[7])*Y3^2))