74.1.30 problem 37

Internal problem ID [15810]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number : 37
Date solved : Tuesday, January 28, 2025 at 08:08:00 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=\frac {1}{x \ln \left (x \right )} \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 9

dsolve(diff(y(x),x)=1/(x*ln(x)),y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 11

DSolve[D[y[x],x]==1/(x*Log[x]),y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \log (\log (x))+c_1 \]