67.2.8 problem Problem 1(h)

Internal problem ID [13965]
Book : APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A. Dobrushkin. CRC Press 2015
Section : Chapter 4, Second and Higher Order Linear Differential Equations. Problems page 221
Problem number : Problem 1(h)
Date solved : Tuesday, January 28, 2025 at 08:25:03 PM
CAS classification : [[_3rd_order, _linear, _nonhomogeneous]]

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

Solution by Maple

Time used: 0.008 (sec). Leaf size: 1444

dsolve(diff(y(x),x$3)+x*y(x)=cosh(x),y(x), singsol=all)
 
\[ \text {Expression too large to display} \]

Solution by Mathematica

Time used: 3.885 (sec). Leaf size: 2230

DSolve[D[y[x],{x,3}]+x*y[x]==Cosh[x],y[x],x,IncludeSingularSolutions -> True]
 

Too large to display