ODE No. 1326

\[ y''(x)=-\frac {y'(x)}{x+1}-\frac {y(x)}{x (x+1)^2} \]

✓ Mathematica : cpu = 0.015951 (sec), leaf count = 29

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

\[\left \{\left \{y(x)\to \frac {c_1 x}{x+1}+\frac {c_2 (x \log (x)-1)}{x+1}\right \}\right \}\]

✓ Maple : cpu = 0.036 (sec), leaf count = 22

dsolve(diff(diff(y(x),x),x) = -1/(1+x)*diff(y(x),x)-1/x/(1+x)^2*y(x),y(x))

\[y \left (x \right ) = \frac {\ln \left (x \right ) c_{2} x +x c_{1} -c_{2}}{1+x}\]