74.4.66 problem 63

Internal problem ID [15959]
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 : 63
Date solved : Tuesday, January 28, 2025 at 08:24:47 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=3 y \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 10

dsolve(diff(y(t),t)=3*y(t),y(t), singsol=all)
 

\[ y = c_{1} {\mathrm e}^{3 t} \]

✓ Solution by Mathematica

Time used: 0.022 (sec). Leaf size: 18

DSolve[D[y[t],t]==3*y[t],y[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} y(t)\to c_1 e^{3 t} \\ y(t)\to 0 \\ \end{align*}