2.566   ODE No. 566

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

\[ y'(x)+\sin \left (y'(x)\right )-x=0 \] Mathematica : cpu = 0.0311171 (sec), leaf count = 31

\[\text {Solve}\left [\left \{x=\text {K$\$$548413}+\sin (\text {K$\$$548413}),y(x)=c_1+\frac {\text {K$\$$548413}^2}{2}+\text {K$\$$548413} \sin (\text {K$\$$548413})+\cos (\text {K$\$$548413})\right \},\{y(x),\text {K$\$$548413}\}\right ]\] Maple : cpu = 0.023 (sec), leaf count = 16

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