50.13.16 problem 16(a)

Internal problem ID [8031]
Book : Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section : Chapter 2. Section 2.7. HIGHER ORDER LINEAR EQUATIONS, COUPLED HARMONIC OSCILLATORS Page 98
Problem number : 16(a)
Date solved : Monday, January 27, 2025 at 03:36:57 PM
CAS classification : [[_high_order, _quadrature]]

\begin{align*} y^{\prime \prime \prime \prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 21

dsolve(diff(y(x),x$4)=0,y(x), singsol=all)
 

\[ y = \frac {1}{6} c_{1} x^{3}+\frac {1}{2} c_{2} x^{2}+c_3 x +c_4 \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 22

DSolve[D[y[x],{x,4}]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x (x (c_4 x+c_3)+c_2)+c_1 \]