1.15 problem 15

Internal problem ID [7059]

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]

\[ \boxed {y^{\prime }=\frac {1}{x}} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 8

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

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

Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 10

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

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