15.9.1 problem 15

Internal problem ID [3058]
Book : Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath. Boston. 1964
Section : Exercise 17, page 78
Problem number : 15
Date solved : Monday, January 27, 2025 at 07:18:52 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 8

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

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

✓ Solution by Mathematica

Time used: 0.025 (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*}