3.885   ODE No. 885

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {-{\frac {i}{128}} \left ( 32\,ix+64+64\, \left ( y \left ( x \right ) \right ) ^{4}+32\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{2}+4\,{x}^{4}+64\, \left ( y \left ( x \right ) \right ) ^{6}+48\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{4}+12\,{x}^{4} \left ( y \left ( x \right ) \right ) ^{2}+{x}^{6} \right ) }{y \left ( x \right ) }}=0} \]

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

Mathematica: cpu = 40.741674 (sec), leaf count = 73 \[ \text {DSolve}\left [y'(x)=-\frac {i \left (x^6+12 x^4 y(x)^2+4 x^4+48 x^2 y(x)^4+32 x^2 y(x)^2+64 y(x)^6+64 y(x)^4+32 i x+64\right )}{128 y(x)},y(x),x\right ] \]

Maple: cpu = 0.858 (sec), leaf count = 0 \[ \text {could not solve} \]