y1[x] = (-1 + 1/(
1/(1 - x^4) - x^3/((-1 + x^4)^(3/2) Sqrt[x^2/(-1 + x^4) + C[1]])))/x^3 ；
y2[x] = (-1 + 1/(
1/(1 - x^4) + x^3/((-1 + x^4)^(3/2) Sqrt[x^2/(-1 + x^4) + C[1]])))/x^3 .
使用MATHEMATICA软件计算的,供参考希望对您有用.