67.2.8 problem Problem 1(h)

Internal problem ID [13894]
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 : Monday, March 31, 2025 at 08:17:16 AM
CAS classification : [[_3rd_order, _linear, _nonhomogeneous]]

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

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

ode:=diff(diff(diff(y(x),x),x),x)+x*y(x) = cosh(x); 
dsolve(ode,y(x), singsol=all);
 

\[ \text {Expression too large to display} \]

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

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

Too large to display

✗ Sympy

from sympy import * 
x = symbols("x") 
y = Function("y") 
ode = Eq(x*y(x) - cosh(x) + Derivative(y(x), (x, 3)),0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

NotImplementedError : solve: Cannot solve x*y(x) - cosh(x) + Derivative(y(x), (x, 3))