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(b).
ODE order: 4.
ODE degree: 1.
CAS Maple gives this as type [[_high_order, _quadrature]]
\[ \boxed {y^{\prime \prime \prime \prime }-\sin \left (x \right )-24=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 26
dsolve(diff(y(x),x$4)=sin(x)+24,y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{1} x^{3}}{6}+x^{4}+\frac {c_{2} x^{2}}{2}+\sin \left (x \right )+c_{3} x +c_{4} \]
✓ Solution by Mathematica
Time used: 0.031 (sec). Leaf size: 26
DSolve[y''''[x]==Sin[x]+24,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \sin (x)+x (x (x (x+c_4)+c_3)+c_2)+c_1 \\ \end{align*}