ODE
\[ y'(x)=y(x) \cot (x) \] ODE Classification
[_separable]
Book solution method
Separable ODE, Neither variable missing
Mathematica ✓
cpu = 0.0151464 (sec), leaf count = 10
\[\left \{\left \{y(x)\to c_1 \sin (x)\right \}\right \}\]
Maple ✓
cpu = 0.025 (sec), leaf count = 8
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sin \left ( x \right ) \right \} \] Mathematica raw input
DSolve[y'[x] == Cot[x]*y[x],y[x],x]
Mathematica raw output
{{y[x] -> C[1]*Sin[x]}}
Maple raw input
dsolve(diff(y(x),x) = y(x)*cot(x), y(x),'implicit')
Maple raw output
y(x) = _C1*sin(x)