Internal problem ID [6306]
Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 15.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {1}{x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 8
dsolve(diff(y(x),x)=1/x,y(x), singsol=all)
\[ y \relax (x ) = c_{1}+\ln \relax (x ) \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 10
DSolve[y'[x] == 1/x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \log (x)+c_1 \\ \end{align*}