2.1446   ODE No. 1446

\[ y''(x)=-\frac {(x-1) y(x)}{x^4}-\frac {y'(x)}{x} \] Mathematica : cpu = 0.0352228 (sec), leaf count = 33

DSolve[Derivative[2][y][x] == -(((-1 + x)*y[x])/x^4) - Derivative[1][y][x]/x,y[x],x]
 

\[\left \{\left \{y(x)\to c_1 e^{-1/x}-c_2 e^{-1/x} \operatorname {ExpIntegralEi}\left (\frac {2}{x}\right )\right \}\right \}\] Maple : cpu = 0.03 (sec), leaf count = 22

dsolve(diff(diff(y(x),x),x) = -1/x*diff(y(x),x)-(x-1)/x^4*y(x),y(x))
 

\[y \left (x \right ) = {\mathrm e}^{-\frac {1}{x}} \left (\operatorname {expIntegral}_{1}\left (-\frac {2}{x}\right ) c_{2}+c_{1}\right )\]