ODE No. 1446

\[ y''(x)=-\frac {(x-1) y(x)}{x^4}-\frac {y'(x)}{x} \]

✓ Mathematica : cpu = 0.0538181 (sec), leaf count = 33

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

\[\left \{\left \{y(x)\to c_1 e^{-1/x}-c_2 e^{-1/x} \text {Ei}\left (\frac {2}{x}\right )\right \}\right \}\]

✓ Maple : cpu = 0.052 (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))

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