3.894   ODE No. 894

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {-i \left ( ix+1+{x}^{4}+2\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{2}+ \left ( y \left ( x \right ) \right ) ^{4}+{x}^{6}+3\,{x}^{4} \left ( y \left ( x \right ) \right ) ^{2}+3\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{4}+ \left ( y \left ( x \right ) \right ) ^{6} \right ) }{y \left ( x \right ) }}=0} \]

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

Mathematica: cpu = 40.654663 (sec), leaf count = 65 \[ \text {DSolve}\left [y'(x)=-\frac {i \left (x^6+3 x^4 y(x)^2+x^4+3 x^2 y(x)^4+2 x^2 y(x)^2+y(x)^6+y(x)^4+i x+1\right )}{y(x)},y(x),x\right ] \]

Maple: cpu = 0.734 (sec), leaf count = 0 \[ \text {could not solve} \]