ODE No. 83

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

\[ y'(x)-\tan (x y(x))=0 \] Mathematica : cpu = 40.4081 (sec), leaf count = 0 , could not solve

DSolve[-Tan[x*y[x]] + Derivative[1][y][x] == 0, y[x], x]

Maple : cpu = 0.457 (sec), leaf count = 44

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