ODE No. 353

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

✓ Mathematica : cpu = 0.0930041 (sec), leaf count = 14

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

\[\left \{\left \{y(x)\to \sin ^{-1}\left (\frac {e^{c_1}}{x}\right )\right \}\right \}\]

✓ Maple : cpu = 0.063 (sec), leaf count = 12

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

\[y \left (x \right ) = \arcsin \left (\frac {1}{x c_{1}}\right )\]