17.5.1 problem 1.1-6 (a)

Internal problem ID [3434]
Book : Ordinary Differential Equations, Robert H. Martin, 1983
Section : Problem 1.1-6, page 7
Problem number : 1.1-6 (a)
Date solved : Monday, January 27, 2025 at 07:36:35 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 10

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

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

✓ Solution by Mathematica

Time used: 0.024 (sec). Leaf size: 18

DSolve[D[y[t],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*}