Internal problem ID [5368]
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).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {\left (1+x \right ) y^{\prime }-x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve((1+x)*diff(y(x),x)=x,y(x), singsol=all)
\[ y \relax (x ) = x -\ln \left (x +1\right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 15
DSolve[(1+x)*y'[x]==x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x-\log (x+1)+c_1 \\ \end{align*}