74.4.67 problem 64

Internal problem ID [15960]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.2, page 39
Problem number : 64
Date solved : Tuesday, January 28, 2025 at 08:24:49 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*}