Internal problem ID [5610]
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).
ODE order: 4.
ODE degree: 1.
CAS Maple gives this as type [[_high_order, _quadrature]]
Solve \begin {gather*} \boxed {y^{\prime \prime \prime \prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 21
dsolve(diff(y(x),x$4)=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {1}{6} x^{3} c_{1}+\frac {1}{2} x^{2} c_{2}+c_{3} x +c_{4} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 22
DSolve[y''''[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x (x (c_4 x+c_3)+c_2)+c_1 \\ \end{align*}