50.13.17 problem 16(b)

Internal problem ID [8032]
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)
Date solved : Monday, January 27, 2025 at 03:36:58 PM
CAS classification : [[_high_order, _quadrature]]

\begin{align*} y^{\prime \prime \prime \prime }&=\sin \left (x \right )+24 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 26

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

\[ y = \frac {c_{1} x^{3}}{6}+x^{4}+\frac {c_{2} x^{2}}{2}+\sin \left (x \right )+c_3 x +c_4 \]

✓ Solution by Mathematica

Time used: 0.022 (sec). Leaf size: 29

DSolve[D[y[x],{x,4}]==Sin[x]+24,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x^4+c_4 x^3+c_3 x^2+\sin (x)+c_2 x+c_1 \]