25.1.8 problem 8

Internal problem ID [4220]
Book : Advanced Mathematica, Book2, Perkin and Perkin, 1992
Section : Chapter 11.3, page 316
Problem number : 8
Date solved : Monday, January 27, 2025 at 08:42:45 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 11

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

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

✓ Solution by Mathematica

Time used: 0.026 (sec). Leaf size: 20

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

\begin{align*} y(x)\to \frac {c_1}{1-x} \\ y(x)\to 0 \\ \end{align*}