20.2.5 problem Problem 5

Internal problem ID [3597]
Book : Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition, 2015
Section : Chapter 1, First-Order Differential Equations. Section 1.4, Separable Differential Equations. page 43
Problem number : Problem 5
Date solved : Monday, January 27, 2025 at 07:47:04 AM
CAS classification : [_separable]

\begin{align*} y-\left (x -1\right ) y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 9

dsolve(y(x)-(x-1)*diff(y(x),x)=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 16

DSolve[y[x]-(x-1)*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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