Internal problem ID [7049]
Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 5.
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) = y(x)+1,y(x), singsol=all)
\[ y \left (x \right ) = -1+{\mathrm e}^{x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 18
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*}