\[ y'(x)=-\frac {i x \left (x^8+8 x^4 y(x)^2+16 i x^2+16 y(x)^4\right )}{32 y(x)} \] ✓ Mathematica : cpu = 0.0684708 (sec), leaf count = 360
DSolve[Derivative[1][y][x] == ((-1/32*I)*x*((16*I)*x^2 + x^8 + 8*x^4*y[x]^2 + 16*y[x]^4))/y[x],y[x],x]
\[\left \{\left \{y(x)\to -\frac {\sqrt {\left (\operatorname {BesselY}\left (\frac {1}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )+c_1 \operatorname {BesselJ}\left (\frac {1}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )\right ) \left ((1+i) x^3 \left (\operatorname {BesselY}\left (\frac {4}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )+c_1 \operatorname {BesselJ}\left (\frac {4}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )\right )-\frac {1}{4} \left (x^6+8 i\right ) \operatorname {BesselY}\left (\frac {1}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )-\frac {1}{4} c_1 \left (x^6+8 i\right ) \operatorname {BesselJ}\left (\frac {1}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )\right )}}{x \left (\operatorname {BesselY}\left (\frac {1}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )+c_1 \operatorname {BesselJ}\left (\frac {1}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )\right )}\right \},\left \{y(x)\to \frac {\sqrt {\left (\operatorname {BesselY}\left (\frac {1}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )+c_1 \operatorname {BesselJ}\left (\frac {1}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )\right ) \left ((1+i) x^3 \left (\operatorname {BesselY}\left (\frac {4}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )+c_1 \operatorname {BesselJ}\left (\frac {4}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )\right )-\frac {1}{4} \left (x^6+8 i\right ) \operatorname {BesselY}\left (\frac {1}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )-\frac {1}{4} c_1 \left (x^6+8 i\right ) \operatorname {BesselJ}\left (\frac {1}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )\right )}}{x \left (\operatorname {BesselY}\left (\frac {1}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )+c_1 \operatorname {BesselJ}\left (\frac {1}{3},\left (\frac {1}{3}-\frac {i}{3}\right ) x^3\right )\right )}\right \}\right \}\] ✓ Maple : cpu = 0.74 (sec), leaf count = 246
dsolve(diff(y(x),x) = -1/32*I*(16*I*x^2+16*y(x)^4+8*y(x)^2*x^4+x^8)*x/y(x),y(x))
\[y \left (x \right ) = -\frac {\sqrt {\left (-2 c_{1} \left (\frac {x^{6}}{8}+i\right ) \operatorname {BesselJ}\left (\frac {1}{3}, \left (\frac {1}{3}-\frac {i}{3}\right ) x^{3}\right )-\operatorname {BesselY}\left (\frac {1}{3}, \left (\frac {1}{3}-\frac {i}{3}\right ) x^{3}\right ) \left (\frac {x^{6}}{4}+2 i\right )+\left (1+i\right ) x^{3} \left (c_{1} \operatorname {BesselJ}\left (\frac {4}{3}, \left (\frac {1}{3}-\frac {i}{3}\right ) x^{3}\right )+\operatorname {BesselY}\left (\frac {4}{3}, \left (\frac {1}{3}-\frac {i}{3}\right ) x^{3}\right )\right )\right ) \left (\operatorname {BesselJ}\left (\frac {1}{3}, \left (\frac {1}{3}-\frac {i}{3}\right ) x^{3}\right ) c_{1}+\operatorname {BesselY}\left (\frac {1}{3}, \left (\frac {1}{3}-\frac {i}{3}\right ) x^{3}\right )\right )}}{\left (\operatorname {BesselJ}\left (\frac {1}{3}, \left (\frac {1}{3}-\frac {i}{3}\right ) x^{3}\right ) c_{1}+\operatorname {BesselY}\left (\frac {1}{3}, \left (\frac {1}{3}-\frac {i}{3}\right ) x^{3}\right )\right ) x}\]