56.1.50 problem 50

Internal problem ID [8762]
Book : Own collection of miscellaneous problems
Section : section 1.0
Problem number : 50
Date solved : Monday, January 27, 2025 at 04:48:28 PM
CAS classification : [[_2nd_order, _missing_y]]

\begin{align*} t y^{\prime \prime }+y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 10

dsolve(t*diff(y(t),t$2)+diff(y(t),t)=0,y(t), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.011 (sec). Leaf size: 13

DSolve[t*D[y[t],{t,2}]+D[y[t],t]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to c_1 \log (t)+c_2 \]