\[ y'(x)=-\frac {i x \left (x^8+18 x^4 y(x)^2+54 i x^2+81 y(x)^4\right )}{243 y(x)} \] ✓ Mathematica : cpu = 0.0679787 (sec), leaf count = 498
DSolve[Derivative[1][y][x] == ((-1/243*I)*x*((54*I)*x^2 + x^8 + 18*x^4*y[x]^2 + 81*y[x]^4))/y[x],y[x],x]
\[\left \{\left \{y(x)\to -\frac {\sqrt {\left (\operatorname {BesselY}\left (\frac {1}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )+c_1 \operatorname {BesselJ}\left (\frac {1}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )\right ) \left ((1+i) \sqrt {6} x^3 \left (\operatorname {BesselY}\left (\frac {4}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )+c_1 \operatorname {BesselJ}\left (\frac {4}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )\right )+\left (-\frac {x^6}{3}-9 i\right ) \operatorname {BesselY}\left (\frac {1}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )-9 c_1 \left (\frac {x^6}{27}+i\right ) \operatorname {BesselJ}\left (\frac {1}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )\right )}}{\sqrt {3} x \left (\operatorname {BesselY}\left (\frac {1}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )+c_1 \operatorname {BesselJ}\left (\frac {1}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )\right )}\right \},\left \{y(x)\to \frac {\sqrt {\left (\operatorname {BesselY}\left (\frac {1}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )+c_1 \operatorname {BesselJ}\left (\frac {1}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )\right ) \left ((1+i) \sqrt {6} x^3 \left (\operatorname {BesselY}\left (\frac {4}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )+c_1 \operatorname {BesselJ}\left (\frac {4}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )\right )+\left (-\frac {x^6}{3}-9 i\right ) \operatorname {BesselY}\left (\frac {1}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )-9 c_1 \left (\frac {x^6}{27}+i\right ) \operatorname {BesselJ}\left (\frac {1}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )\right )}}{\sqrt {3} x \left (\operatorname {BesselY}\left (\frac {1}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )+c_1 \operatorname {BesselJ}\left (\frac {1}{3},\left (\frac {2}{9}-\frac {2 i}{9}\right ) \sqrt {\frac {2}{3}} x^3\right )\right )}\right \}\right \}\] ✓ Maple : cpu = 0.958 (sec), leaf count = 305
dsolve(diff(y(x),x) = -1/243*I*(54*I*x^2+81*y(x)^4+18*y(x)^2*x^4+x^8)*x/y(x),y(x))
\[y \left (x \right ) = -\frac {\sqrt {3}\, \sqrt {\left (\operatorname {BesselJ}\left (\frac {1}{3}, \left (\frac {2}{27}-\frac {2 i}{27}\right ) \sqrt {6}\, x^{3}\right ) c_{1}+\operatorname {BesselY}\left (\frac {1}{3}, \left (\frac {2}{27}-\frac {2 i}{27}\right ) \sqrt {6}\, x^{3}\right )\right ) \left (-9 c_{1} \left (\frac {x^{6}}{27}+i\right ) \operatorname {BesselJ}\left (\frac {1}{3}, \left (\frac {2}{27}-\frac {2 i}{27}\right ) \sqrt {6}\, x^{3}\right )+\left (-\frac {x^{6}}{3}-9 i\right ) \operatorname {BesselY}\left (\frac {1}{3}, \left (\frac {2}{27}-\frac {2 i}{27}\right ) \sqrt {6}\, x^{3}\right )+\left (1+i\right ) x^{3} \sqrt {6}\, \left (c_{1} \operatorname {BesselJ}\left (\frac {4}{3}, \left (\frac {2}{27}-\frac {2 i}{27}\right ) \sqrt {6}\, x^{3}\right )+\operatorname {BesselY}\left (\frac {4}{3}, \left (\frac {2}{27}-\frac {2 i}{27}\right ) \sqrt {6}\, x^{3}\right )\right )\right )}}{3 \left (\operatorname {BesselJ}\left (\frac {1}{3}, \left (\frac {2}{27}-\frac {2 i}{27}\right ) \sqrt {6}\, x^{3}\right ) c_{1}+\operatorname {BesselY}\left (\frac {1}{3}, \left (\frac {2}{27}-\frac {2 i}{27}\right ) \sqrt {6}\, x^{3}\right )\right ) x}\]