Internal problem ID [6296]
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]
Solve \begin {gather*} \boxed {y^{\prime }-y-1=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 10
dsolve(diff(y(x),x) = y(x)+1,y(x), singsol=all)
\[ y \relax (x ) = -1+c_{1} {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.042 (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*}