Internal problem ID [14074]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=\frac {1}{x \ln \left (x \right )}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve(diff(y(x),x)=1/(x*ln(x)),y(x), singsol=all)
\[ y \left (x \right ) = \ln \left (\ln \left (x \right )\right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.006 (sec). Leaf size: 11
DSolve[y'[x]==1/(x*Log[x]),y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \log (\log (x))+c_1 \]