50.1.17 problem 2(c)

Internal problem ID [7789]
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(c)
Date solved : Monday, January 27, 2025 at 03:23:15 PM
CAS classification : [_quadrature]

\begin{align*} \left (1+x \right ) y^{\prime }&=x \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 13

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

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

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 15

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

\[ y(x)\to x-\log (x+1)+c_1 \]