#### 2.759   ODE No. 759

$y'(x)=-\frac {i x \left (18 x^4 y(x)^2+x^8+54 i x^2+81 y(x)^4\right )}{243 y(x)}$ Mathematica : cpu = 40.5991 (sec), leaf count = 0 , could not solve

DSolve[Derivative[1][y][x] == ((-I/243)*x*((54*I)*x^2 + x^8 + 18*x^4*y[x]^2 + 81*y[x]^4))/y[x], y[x], x]

Maple : cpu = 0.621 (sec), leaf count = 305

$\left \{ y \left ( x \right ) =-{\frac {\sqrt {3}}{3\,x}\sqrt { \left ( {{\sl J}_{{\frac {1}{3}}}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )}{\it \_C1}+{{\sl Y}_{{\frac {1}{3}}}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )} \right ) \left ( -9\,{\it \_C1}\, \left ( 1/27\,{x}^{6}+i \right ) {{\sl J}_{1/3}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )}+ \left ( -{\frac {{x}^{6}}{3}}-9\,i \right ) {{\sl Y}_{{\frac {1}{3}}}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )}+ \left ( 1+i \right ) {x}^{3}\sqrt {6} \left ( {\it \_C1}\,{{\sl J}_{{\frac {4}{3}}}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )}+{{\sl Y}_{{\frac {4}{3}}}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )} \right ) \right ) } \left ( {{\sl J}_{{\frac {1}{3}}}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )}{\it \_C1}+{{\sl Y}_{{\frac {1}{3}}}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )} \right ) ^{-1}},y \left ( x \right ) ={\frac {\sqrt {3}}{3\,x}\sqrt { \left ( {{\sl J}_{{\frac {1}{3}}}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )}{\it \_C1}+{{\sl Y}_{{\frac {1}{3}}}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )} \right ) \left ( -9\,{\it \_C1}\, \left ( 1/27\,{x}^{6}+i \right ) {{\sl J}_{1/3}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )}+ \left ( -{\frac {{x}^{6}}{3}}-9\,i \right ) {{\sl Y}_{{\frac {1}{3}}}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )}+ \left ( 1+i \right ) {x}^{3}\sqrt {6} \left ( {\it \_C1}\,{{\sl J}_{{\frac {4}{3}}}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )}+{{\sl Y}_{{\frac {4}{3}}}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )} \right ) \right ) } \left ( {{\sl J}_{{\frac {1}{3}}}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )}{\it \_C1}+{{\sl Y}_{{\frac {1}{3}}}\left ( \left ( {\frac {2}{27}}-{\frac {2\,i}{27}} \right ) \sqrt {6}{x}^{3}\right )} \right ) ^{-1}} \right \}$