Internal problem ID [3097]
Book: Differential equations with applications and historial notes, George F. Simmons,
1971
Section: Chapter 2, section 8, page 41
Problem number: 9.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y+\left (1-x \right ) y^{\prime }=-1} \]
✓ Solution by Maple
Time used: 0.0 (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: 0.026 (sec). Leaf size: 18
DSolve[(1+y[x])+(1-x)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -1+c_1 (x-1) y(x)\to -1 \end{align*}