ODE No. 125

\[ x y'(x)-y(x)+x \tan \left (\frac {y(x)}{x}\right )=0 \]

✓ Mathematica : cpu = 0.138472 (sec), leaf count = 16

DSolve[x*Tan[y[x]/x] - y[x] + x*Derivative[1][y][x] == 0,y[x],x]

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

✓ Maple : cpu = 0.075 (sec), leaf count = 14

dsolve(x*diff(y(x),x)+x*tan(y(x)/x)-y(x) = 0,y(x))

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