Internal problem ID [5654]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz.
McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 4. Power Series Solutions and Special Functions. Section 4.2. Series Solutions of
First-Order Differential Equations Page 162
Problem number: 1(b) solving directly.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }+y-1=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 12
dsolve(diff(y(x),x)+y(x)=1,y(x), singsol=all)
\[ y \relax (x ) = 1+{\mathrm e}^{-x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.021 (sec). Leaf size: 20
DSolve[y'[x]+y[x]==1,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 1+c_1 e^{-x} \\ y(x)\to 1 \\ \end{align*}