1.6 problem 1.1-2 (f)

Internal problem ID [1943]

Book: Ordinary Differential Equations, Robert H. Martin, 1983
Section: Problem 1.1-2, page 6
Problem number: 1.1-2 (f).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

Solve \begin {gather*} \boxed {y^{\prime }-\ln \relax (t )=0} \end {gather*}

Solution by Maple

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

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

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

Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 15

DSolve[y'[t]==Log[t],y[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} y(t)\to -t+t \log (t)+c_1 \\ \end{align*}