Internal problem ID [1955]
Book: Ordinary Differential Equations, Robert H. Martin, 1983
Section: Problem 1.1-6, page 7
Problem number: 1.1-6 (b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-1+y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 12
dsolve(diff(y(t),t)=1-y(t),y(t), singsol=all)
\[ y \relax (t ) = 1+{\mathrm e}^{-t} c_{1} \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 20
DSolve[y'[t]==1-y[t],y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to 1+c_1 e^{-t} \\ y(t)\to 1 \\ \end{align*}