67.2.14 problem Problem 1(n)

Internal problem ID [13971]
Book : APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A. Dobrushkin. CRC Press 2015
Section : Chapter 4, Second and Higher Order Linear Differential Equations. Problems page 221
Problem number : Problem 1(n)
Date solved : Tuesday, January 28, 2025 at 06:10:40 AM
CAS classification : [[_3rd_order, _quadrature]]

\begin{align*} y^{\prime \prime \prime }&=1 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 20

dsolve(diff(y(x),x$3)=1,y(x), singsol=all)
 

\[ y = \frac {1}{6} x^{3}+\frac {1}{2} c_{1} x^{2}+c_{2} x +c_{3} \]

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 25

DSolve[D[y[x],{x,3}]==1,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {x^3}{6}+c_3 x^2+c_2 x+c_1 \]