71.6.1 problem 1

Internal problem ID [14407]
Book : Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section : Chapter 2. The Initial Value Problem. Exercises 2.3.2, page 63
Problem number : 1
Date solved : Tuesday, January 28, 2025 at 06:29:53 AM
CAS classification : [_quadrature]

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

With initial conditions

\begin{align*} y \left (0\right )&=-1 \end{align*}

✓ Solution by Maple

Time used: 0.005 (sec). Leaf size: 10

dsolve([diff(y(x),x)=3*y(x),y(0) = -1],y(x), singsol=all)
 

\[ y = -{\mathrm e}^{3 x} \]

✓ Solution by Mathematica

Time used: 0.021 (sec). Leaf size: 12

DSolve[{D[y[x],x]==3*y[x],{y[0]==-1}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -e^{3 x} \]