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 = 0.0453682 (sec), leaf count = 38

\[\text {Solve}\left [\left \{x=K[1]+\sin (K[1]),y(x)=\frac {K[1]^2}{2}+K[1] \sin (K[1])+\cos (K[1])+c_1\right \},\{y(x),K[1]\}\right ]\] Maple : cpu = 0.041 (sec), leaf count = 16

\[\{y \left (x \right ) = c_{1}+\int \RootOf \left (\textit {\_Z} -x +\sin \left (\textit {\_Z} \right )\right )d x\}\]