Internal problem ID [7674]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 93.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {x y^{\prime }-y-\frac {x \cos \left (\ln \left (\ln \relax (x )\right )\right )}{\ln \relax (x )}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(x*diff(y(x),x) - y(x) - x*cos(ln(ln(x)))/ln(x)=0,y(x), singsol=all)
\[ y \relax (x ) = \left (\sin \left (\ln \left (\ln \relax (x )\right )\right )+c_{1}\right ) x \]
✓ Solution by Mathematica
Time used: 0.122 (sec). Leaf size: 14
DSolve[x*y'[x] - y[x] - x*Cos[Log[Log[x]]]/Log[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x (\sin (\log (\log (x)))+c_1) \\ \end{align*}