50.1.20 problem 2(f)

Internal problem ID [7792]
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)
Date solved : Monday, January 27, 2025 at 03:23:18 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 8

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

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

✓ Solution by Mathematica

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

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

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