Internal problem ID [7672]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 91.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {x y^{\prime }-y-\frac {x}{\ln \relax (x )}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 11
dsolve(x*diff(y(x),x) - y(x) - x/ln(x)=0,y(x), singsol=all)
\[ y \relax (x ) = \left (\ln \left (\ln \relax (x )\right )+c_{1}\right ) x \]
✓ Solution by Mathematica
Time used: 0.064 (sec). Leaf size: 13
DSolve[x*y'[x] - y[x] - x/Log[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x (\log (\log (x))+c_1) \\ \end{align*}