2.83   ODE No. 83

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

\[ y'(x)-\tan (x y(x))=0 \] Mathematica : cpu = 0.341707 (sec), leaf count = 69

\[\text {Solve}\left [\frac {1}{2} \sqrt {\frac {\pi }{2}} e^{\frac {x^2}{2}} \left (\text {erfi}\left (\frac {y(x)-i x}{\sqrt {2}}\right )+\text {erfi}\left (\frac {y(x)+i x}{\sqrt {2}}\right )\right )=c_1 e^{\frac {x^2}{2}},y(x)\right ]\] Maple : cpu = 0.297 (sec), leaf count = 44

\[ \left \{ y \left ( x \right ) =-i{\it RootOf} \left ( -{\it Erf} \left ( {\frac { \left ( -x+{\it \_Z} \right ) \sqrt {2}}{2}} \right ) \sqrt {\pi }-{\it Erf} \left ( {\frac {\sqrt {2} \left ( x+{\it \_Z} \right ) }{2}} \right ) \sqrt {\pi }+\sqrt {2}{\it \_C1} \right ) \right \} \]