17.6.2 problem 1.2-1 (b)

Internal problem ID [3439]
Book : Ordinary Differential Equations, Robert H. Martin, 1983
Section : Problem 1.2-1, page 12
Problem number : 1.2-1 (b)
Date solved : Monday, January 27, 2025 at 07:36:46 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

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

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

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

✓ Solution by Mathematica

Time used: 0.021 (sec). Leaf size: 18

DSolve[D[y[t],t]==-y[t],y[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} y(t)\to c_1 e^{-t} \\ y(t)\to 0 \\ \end{align*}