Internal problem ID [10346]
Book: A First Course in Differential Equations by J. David Logan. Third Edition. Springer-Verlag, NY.
2015.
Section: Chapter 1, First order differential equations. Section 1.2 Antiderivatives. Exercises page
19
Problem number: 4(b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {x^{\prime }-\frac {1}{t \ln \left (t \right )}=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 9
dsolve(diff(x(t),t)=1/(t*ln(t)),x(t), singsol=all)
\[ x \left (t \right ) = \ln \left (\ln \left (t \right )\right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.008 (sec). Leaf size: 11
DSolve[x'[t]==1/(t*Log[t]),x[t],t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to \log (\log (t))+c_1 \\ \end{align*}