Internal problem ID [12298]
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 (D).
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: 10
dsolve(diff(y(x),x)=1+y(x),y(x), singsol=all)
\[ y \left (x \right ) = -1+c_{1} {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.037 (sec). Leaf size: 18
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*}