35.1.1 problem 1

Internal problem ID [6092]
Book : Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley. 2006
Section : Chapter 8, Ordinary differential equations. Section 1. Introduction. page 394
Problem number : 1
Date solved : Monday, January 27, 2025 at 01:35:39 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 8

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

\[ y = c_1 \,{\mathrm e}^{x} \]

✓ Solution by Mathematica

Time used: 0.012 (sec). Leaf size: 20

DSolve[D[y[x],{x,2}]==y[x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 e^x+c_2 e^{-x} \]