72.8.1 problem 2

Internal problem ID [14765]
Book : DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th edition. Brooks/Cole. Boston, USA. 2012
Section : Chapter 1. First-Order Differential Equations. Review Exercises for chapter 1. page 136
Problem number : 2
Date solved : Tuesday, January 28, 2025 at 07:14:33 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: 0.021 (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*}