73.8.16 problem 13.3 (a)

Internal problem ID [15224]
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 : 13.3 (a)
Date solved : Tuesday, January 28, 2025 at 07:50:23 AM
CAS classification : [[_3rd_order, _missing_x]]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 13

dsolve(diff(y(x),x$3)=diff(y(x),x$2),y(x), singsol=all)
 

\[ y = c_{1} +c_{2} x +c_{3} {\mathrm e}^{x} \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 18

DSolve[D[y[x],{x,3}]==D[y[x],{x,2}],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 e^x+c_3 x+c_2 \]