Internal problem ID [12617]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.1, page 40
Problem number: 2 (C).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }+y=1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x)=1-y(x),y(x), singsol=all)
\[ y \left (x \right ) = c_{1} {\mathrm e}^{-x}+1 \]
✓ Solution by Mathematica
Time used: 0.035 (sec). Leaf size: 20
DSolve[y'[x]==1-y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 1+c_1 e^{-x} \\ y(x)\to 1 \\ \end{align*}