2.746   ODE No. 746

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

\[ y'(x)=-\frac {i \left (x^4+2 x^2 y(x)^2+y(x)^4+i x\right )}{y(x)} \] Mathematica : cpu = 45.7178 (sec), leaf count = 0 , could not solve

DSolve[Derivative[1][y][x] == ((-I)*(I*x + x^4 + 2*x^2*y[x]^2 + y[x]^4))/y[x], y[x], x]

Maple : cpu = 0.489 (sec), leaf count = 243

\[ \left \{ y \left ( x \right ) ={\frac {-i\sqrt {2}}{2\,{{\rm Ai}\left (-\sqrt [3]{-8\,i}x\right )}{\it \_C1}+2\,{{\rm Bi}\left (-\sqrt [3]{-8\,i}x\right )}}\sqrt {-2\,i \left ( {{\rm Ai}\left (-\sqrt [3]{-8\,i}x\right )}{\it \_C1}+{{\rm Bi}\left (-\sqrt [3]{-8\,i}x\right )} \right ) \left ( -{\frac {{\it \_C1}\, \left ( -\sqrt {3}+i \right ) {{\rm Ai}^{(1)}\left (-\sqrt [3]{-8\,i}x\right )}}{2}}+ \left ( {\frac {\sqrt {3}}{2}}-{\frac {i}{2}} \right ) {{\rm Bi}^{(1)}\left (-\sqrt [3]{-8\,i}x\right )}+i \left ( {{\rm Ai}\left (-\sqrt [3]{-8\,i}x\right )}{\it \_C1}+{{\rm Bi}\left (-\sqrt [3]{-8\,i}x\right )} \right ) {x}^{2} \right ) }},y \left ( x \right ) ={\frac {i\sqrt {2}}{2\,{{\rm Ai}\left (-\sqrt [3]{-8\,i}x\right )}{\it \_C1}+2\,{{\rm Bi}\left (-\sqrt [3]{-8\,i}x\right )}}\sqrt {-2\,i \left ( {{\rm Ai}\left (-\sqrt [3]{-8\,i}x\right )}{\it \_C1}+{{\rm Bi}\left (-\sqrt [3]{-8\,i}x\right )} \right ) \left ( -{\frac {{\it \_C1}\, \left ( -\sqrt {3}+i \right ) {{\rm Ai}^{(1)}\left (-\sqrt [3]{-8\,i}x\right )}}{2}}+ \left ( {\frac {\sqrt {3}}{2}}-{\frac {i}{2}} \right ) {{\rm Bi}^{(1)}\left (-\sqrt [3]{-8\,i}x\right )}+i \left ( {{\rm Ai}\left (-\sqrt [3]{-8\,i}x\right )}{\it \_C1}+{{\rm Bi}\left (-\sqrt [3]{-8\,i}x\right )} \right ) {x}^{2} \right ) }} \right \} \]