71.3.4 problem 2 (D)

Internal problem ID [14354]
Book : Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section : Chapter 2. The Initial Value Problem. Exercises 2.1, page 40
Problem number : 2 (D)
Date solved : Tuesday, January 28, 2025 at 06:27:27 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=y+1 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 10

dsolve(diff(y(x),x)=1+y(x),y(x), singsol=all)
 

\[ y = -1+{\mathrm e}^{x} c_{1} \]

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 18

DSolve[D[y[x],x]==1+y[x],y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to -1+c_1 e^x \\ y(x)\to -1 \\ \end{align*}