4.67 problem 64

Internal problem ID [14225]

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.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }+y=0} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 10

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

\[ y \left (t \right ) = {\mathrm e}^{-t} c_{1} \]

Solution by Mathematica

Time used: 0.019 (sec). Leaf size: 18

DSolve[y'[t]==-y[t],y[t],t,IncludeSingularSolutions -> True]
 

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