ODE No. 348

\[ y'(x) (x \cos (y(x))+\sin (x))+\sin (y(x))+y(x) \cos (x)=0 \]

✓ Mathematica : cpu = 0.266146 (sec), leaf count = 17

DSolve[Sin[y[x]] + Cos[x]*y[x] + (x*Cos[y[x]] + Sin[x])*Derivative[1][y][x] == 0,y[x],x]

\[\text {Solve}[x \sin (y(x))+y(x) \sin (x)=c_1,y(x)]\]

✓ Maple : cpu = 0.075 (sec), leaf count = 15

dsolve((x*cos(y(x))+sin(x))*diff(y(x),x)+y(x)*cos(x)+sin(y(x)) = 0,y(x))

\[y \left (x \right ) \sin \left (x \right )+x \sin \left (y \left (x \right )\right )+c_{1} = 0\]