71.13.1 problem 1

Internal problem ID [14521]
Book : Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section : Chapter 5. The Laplace Transform Method. Exercises 5.2, page 248
Problem number : 1
Date solved : Tuesday, January 28, 2025 at 06:42:56 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }-y&=0 \end{align*}

Using Laplace method

✓ Solution by Maple

Time used: 8.248 (sec). Leaf size: 9

dsolve(diff(y(x),x)-y(x)=0,y(x), singsol=all)
 

\[ y = {\mathrm e}^{x} y \left (0\right ) \]

✓ Solution by Mathematica

Time used: 0.020 (sec). Leaf size: 16

DSolve[D[y[x],x]-y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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