ODE
\[ x y'(x)=a y(x) \] ODE Classification
[_separable]
Book solution method
Separable ODE, Neither variable missing
Mathematica ✓
cpu = 0.22612 (sec), leaf count = 11
\[\left \{\left \{y(x)\to c_1 x^a\right \}\right \}\]
Maple ✓
cpu = 0.007 (sec), leaf count = 9
\[[y \left (x \right ) = \textit {\_C1} \,x^{a}]\] 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))
Maple raw output
[y(x) = _C1*x^a]