ODE No. 355

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

✓ Mathematica : cpu = 0.241408 (sec), leaf count = 17

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

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

✓ Maple : cpu = 0.08 (sec), leaf count = 15

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

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