ODE No. 1160

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

✓ Mathematica : cpu = 0.0060461 (sec), leaf count = 30

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

\[\left \{\left \{y(x)\to c_1 \cos \left (\sqrt {a} \log (x)\right )+c_2 \sin \left (\sqrt {a} \log (x)\right )\right \}\right \}\]

✓ Maple : cpu = 0.018 (sec), leaf count = 23

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

\[y \left (x \right ) = c_{1} \sin \left (\sqrt {a}\, \ln \left (x \right )\right )+c_{2} \cos \left (\sqrt {a}\, \ln \left (x \right )\right )\]