26.2.9 problem 9

Internal problem ID [4258]
Book : Differential equations with applications and historial notes, George F. Simmons. Second edition. 1971
Section : Chapter 2, section 8, page 41
Problem number : 9
Date solved : Monday, January 27, 2025 at 08:46:01 AM
CAS classification : [_separable]

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

✓ Solution by Maple

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

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

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

✓ Solution by Mathematica

Time used: 0.027 (sec). Leaf size: 18

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

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