44.3.7 problem 13

Internal problem ID [6988]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 1. Introduction to differential equations. Review problems at page 34
Problem number : 13
Date solved : Monday, January 27, 2025 at 02:39:56 PM
CAS classification : [[_2nd_order, _missing_x]]

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

✓ Solution by Maple

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

dsolve(diff(y(x),x$2)=diff(y(x),x),y(x), singsol=all)
 

\[ y = c_{1} +{\mathrm e}^{x} c_{2} \]

✓ Solution by Mathematica

Time used: 0.008 (sec). Leaf size: 14

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

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