ODE
\[ x y'(x)+\tan (y(x))=0 \] ODE Classification
[_separable]
Book solution method
Exact equation, integrating factor
Mathematica ✓
cpu = 0.241522 (sec), leaf count = 14
\[\left \{\left \{y(x)\to \sin ^{-1}\left (\frac {e^{c_1}}{x}\right )\right \}\right \}\]
Maple ✓
cpu = 0.068 (sec), leaf count = 12
\[\left [y \left (x \right ) = \arcsin \left (\frac {1}{x \textit {\_C1}}\right )\right ]\] Mathematica raw input
DSolve[Tan[y[x]] + x*y'[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> ArcSin[E^C[1]/x]}}
Maple raw input
dsolve(x*diff(y(x),x)+tan(y(x)) = 0, y(x))
Maple raw output
[y(x) = arcsin(1/x/_C1)]