ODE No. 1159

\[ -a x^2+x^2 y''(x)+x y'(x)-y(x)=0 \]

✓ Mathematica : cpu = 0.0060648 (sec), leaf count = 24

DSolve[-(a*x^2) - y[x] + x*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to \frac {a x^2}{3}+c_2 x+\frac {c_1}{x}\right \}\right \}\]

✓ Maple : cpu = 0.02 (sec), leaf count = 19

dsolve(x^2*diff(diff(y(x),x),x)+x*diff(y(x),x)-y(x)-a*x^2=0,y(x))

\[y \left (x \right ) = c_{2} x +\frac {a \,x^{2}}{3}+\frac {c_{1}}{x}\]