2.568   ODE No. 568

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

\[ y'(x)^2 \sin \left (y'(x)\right )-y(x)=0 \] Mathematica : cpu = 0.104988 (sec), leaf count = 34

\[\text {Solve}\left [\left \{x=K[1] \sin (K[1])-\cos (K[1])+c_1,y(x)=K[1]^2 \sin (K[1])\right \},\{y(x),K[1]\}\right ]\] Maple : cpu = 0.067 (sec), leaf count = 32

\[\left \{-c_{1}+x -\left (\int _{}^{y \left (x \right )}\frac {1}{\RootOf \left (\textit {\_Z}^{2} \sin \left (\textit {\_Z} \right )-\textit {\_a} \right )}d \textit {\_a} \right ) = 0, y \left (x \right ) = 0\right \}\]