ODE
\[ y'(x)=y(x) \sec (x) \] ODE Classification
[_separable]
Book solution method
Separable ODE, Neither variable missing
Mathematica ✓
cpu = 0.0093707 (sec), leaf count = 19
\[\left \{\left \{y(x)\to c_1 e^{2 \tanh ^{-1}\left (\tan \left (\frac {x}{2}\right )\right )}\right \}\right \}\]
Maple ✓
cpu = 0.006 (sec), leaf count = 11
\[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( \sec \left ( x \right ) +\tan \left ( x \right ) \right ) \right \} \] Mathematica raw input
DSolve[y'[x] == Sec[x]*y[x],y[x],x]
Mathematica raw output
{{y[x] -> E^(2*ArcTanh[Tan[x/2]])*C[1]}}
Maple raw input
dsolve(diff(y(x),x) = y(x)*sec(x), y(x),'implicit')
Maple raw output
y(x) = _C1*(sec(x)+tan(x))