56.1.15 problem 15

Internal problem ID [8727]
Book : Own collection of miscellaneous problems
Section : section 1.0
Problem number : 15
Date solved : Monday, January 27, 2025 at 04:20:48 PM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=\frac {1}{x} \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 8

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

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

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 10

DSolve[D[y[x],x] == 1/x,y[x],x,IncludeSingularSolutions -> True]
 

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