13.17 problem 16(b)

Internal problem ID [5611]

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]]

Solve \begin {gather*} \boxed {y^{\prime \prime \prime \prime }-\sin \relax (x )-24=0} \end {gather*}

Solution by Maple

Time used: 0.016 (sec). Leaf size: 26

dsolve(diff(y(x),x$4)=sin(x)+24,y(x), singsol=all)
 

\[ y \relax (x ) = \frac {x^{2} c_{2}}{2}+x^{4}+\frac {x^{3} c_{1}}{6}+\sin \relax (x )+c_{3} x +c_{4} \]

Solution by Mathematica

Time used: 0.024 (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*}