ODE
\[ x^2 y'(x)=a-y(x) \] ODE Classification
[_separable]
Book solution method
Separable ODE, Neither variable missing
Mathematica ✓
cpu = 0.0059408 (sec), leaf count = 15
\[\left \{\left \{y(x)\to a+c_1 e^{\frac {1}{x}}\right \}\right \}\]
Maple ✓
cpu = 0.008 (sec), leaf count = 12
\[ \left \{ y \left ( x \right ) =a+{{\rm e}^{{x}^{-1}}}{\it \_C1} \right \} \] Mathematica raw input
DSolve[x^2*y'[x] == a - y[x],y[x],x]
Mathematica raw output
{{y[x] -> a + E^x^(-1)*C[1]}}
Maple raw input
dsolve(x^2*diff(y(x),x) = a-y(x), y(x),'implicit')
Maple raw output
y(x) = a+exp(1/x)*_C1