1.20 problem 2(f)

Internal problem ID [5371]

Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 1. What is a differential equation. Section 1.2 THE NATURE OF SOLUTIONS. Page 9
Problem number: 2(f).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

Solve \begin {gather*} \boxed {x y^{\prime }-1=0} \end {gather*}

Solution by Maple

Time used: 0.015 (sec). Leaf size: 8

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

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

Solution by Mathematica

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

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

\begin{align*} y(x)\to \log (x)+c_1 \\ \end{align*}