17.1.6 problem 1.1-2 (f)

Internal problem ID [3423]
Book : Ordinary Differential Equations, Robert H. Martin, 1983
Section : Problem 1.1-2, page 6
Problem number : 1.1-2 (f)
Date solved : Monday, January 27, 2025 at 07:36:16 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=\ln \left (t \right ) \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 13

dsolve(diff(y(t),t)=ln(t),y(t), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 15

DSolve[D[y[t],t]==Log[t],y[t],t,IncludeSingularSolutions -> True]
 

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