ODE
\[ x y'(x)=a y(x) \] ODE Classification
[_separable]
Book solution method
Separable ODE, Neither variable missing
Mathematica ✓
cpu = 0.00302576 (sec), leaf count = 11
\[\left \{\left \{y(x)\to c_1 x^a\right \}\right \}\]
Maple ✓
cpu = 0.004 (sec), leaf count = 9
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{a} \right \} \] Mathematica raw input
DSolve[x*y'[x] == a*y[x],y[x],x]
Mathematica raw output
{{y[x] -> x^a*C[1]}}
Maple raw input
dsolve(x*diff(y(x),x) = a*y(x), y(x),'implicit')
Maple raw output
y(x) = _C1*x^a