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 = 0.0559306 (sec), leaf count = 28

\[\text {Solve}\left [\left \{x=c_1+\text {K$\$$3587056} \sin (\text {K$\$$3587056})-\cos (\text {K$\$$3587056}),y(x)=\text {K$\$$3587056}^2 \sin (\text {K$\$$3587056})\right \},\{y(x),\text {K$\$$3587056}\}\right ]\] Maple : cpu = 0.068 (sec), leaf count = 32

\[ \left \{ x-\int ^{y \left ( x \right ) }\! \left ( {\it RootOf} \left ( \sin \left ( {\it \_Z} \right ) {{\it \_Z}}^{2}-{\it \_a} \right ) \right ) ^{-1}{d{\it \_a}}-{\it \_C1}=0,y \left ( x \right ) =0 \right \} \]