Internal problem ID [2463]
Book: Ordinary Differential Equations, Robert H. Martin, 1983
Section: Problem 1.1-6, page 7
Problem number: 1.1-6 (a).
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(t),t)=y(t)-1,y(t), singsol=all)
\[ y \left (t \right ) = 1+c_{1} {\mathrm e}^{t} \]
✓ Solution by Mathematica
Time used: 0.023 (sec). Leaf size: 18
DSolve[y'[t]==y[t]-1,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to 1+c_1 e^t y(t)\to 1 \end{align*}