17.5.2 problem 1.1-6 (b)

Internal problem ID [3435]
Book : Ordinary Differential Equations, Robert H. Martin, 1983
Section : Problem 1.1-6, page 7
Problem number : 1.1-6 (b)
Date solved : Monday, January 27, 2025 at 07:36:36 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=1-y \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 12

dsolve(diff(y(t),t)=1-y(t),y(t), singsol=all)
 

\[ y = 1+{\mathrm e}^{-t} c_{1} \]

✓ Solution by Mathematica

Time used: 0.024 (sec). Leaf size: 20

DSolve[D[y[t],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*}