2.1095   ODE No. 1095

\[ l x y(x)+x y''(x)+y'(x)=0 \] Mathematica : cpu = 0.0054901 (sec), leaf count = 30

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

\[\left \{\left \{y(x)\to c_1 \operatorname {BesselJ}\left (0,\sqrt {l} x\right )+c_2 \operatorname {BesselY}\left (0,\sqrt {l} x\right )\right \}\right \}\] Maple : cpu = 0.026 (sec), leaf count = 23

dsolve(x*diff(diff(y(x),x),x)+diff(y(x),x)+l*x*y(x)=0,y(x))
 

\[y \left (x \right ) = c_{1} \operatorname {BesselJ}\left (0, \sqrt {l}\, x \right )+c_{2} \operatorname {BesselY}\left (0, \sqrt {l}\, x \right )\]