Internal problem ID [5370]
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]
\[ \boxed {y^{\prime } x -1=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 8
dsolve(x*diff(y(x),x)=1,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[x*y'[x]==1,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \log (x)+c_1 \\ \end{align*}