73.8.3 problem 13.1 (c)

Internal problem ID [15211]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 13. Higher order equations: Extending first order concepts. Additional exercises page 259
Problem number : 13.1 (c)
Date solved : Tuesday, January 28, 2025 at 07:50:02 AM
CAS classification : [[_2nd_order, _missing_x]]

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

✓ Solution by Maple

Time used: 0.004 (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: 0.010 (sec). Leaf size: 14

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

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