Internal problem ID [6340]
Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 50.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {t y^{\prime \prime }+y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(t*diff(y(t),t$2)+diff(y(t),t)=0,y(t), singsol=all)
\[ y \left (t \right ) = c_{2} \ln \left (t \right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.009 (sec). Leaf size: 13
DSolve[t*y''[t]+y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to c_1 \log (t)+c_2 \\ \end{align*}