ODE No. 566

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

\[ y'(x)+\sin \left (y'(x)\right )-x=0 \] Mathematica : cpu = 0.0213973 (sec), leaf count = 0 , could not solve

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

Maple : cpu = 0.034 (sec), leaf count = 16

\[ \left \{ y \left ( x \right ) =\int \!{\it RootOf} \left ( \sin \left ( {\it \_Z} \right ) +{\it \_Z}-x \right ) \,{\rm d}x+{\it \_C1} \right \} \]