ODE
\[ y'(x)=y(x) \cot (x) \] ODE Classification
[_separable]
Book solution method
Separable ODE, Neither variable missing
Mathematica ✓
cpu = 0.157863 (sec), leaf count = 10
\[\{\{y(x)\to c_1 \sin (x)\}\}\]
Maple ✓
cpu = 0.013 (sec), leaf count = 8
\[[y \left (x \right ) = \textit {\_C1} \sin \left (x \right )]\] 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))
Maple raw output
[y(x) = _C1*sin(x)]