2.568   ODE No. 568

\[ y'(x)^2 \sin \left (y'(x)\right )-y(x)=0 \]

✓ Mathematica : cpu = 0.0787218 (sec), leaf count = 34

DSolve[-y[x] + Sin[Derivative[1][y][x]]*Derivative[1][y][x]^2 == 0,y[x],x]
 

\[\text {Solve}\left [\left \{x=K[1] \sin (K[1])-\cos (K[1])+c_1,y(x)=K[1]^2 \sin (K[1])\right \},\{y(x),K[1]\}\right ]\]

✓ Maple : cpu = 0.073 (sec), leaf count = 32

dsolve(diff(y(x),x)^2*sin(diff(y(x),x))-y(x)=0,y(x))
 

\[y \left (x \right ) = 0\]