60.4.2 problem 1450

Internal problem ID [11425]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 3, linear third order
Problem number : 1450
Date solved : Sunday, March 30, 2025 at 08:22:00 PM
CAS classification : [[_3rd_order, _linear, _nonhomogeneous]]

\begin{align*} y^{\prime \prime \prime }+y a \,x^{3}-b x&=0 \end{align*}

✓ Maple. Time used: 0.028 (sec). Leaf size: 1619

ode:=diff(diff(diff(y(x),x),x),x)+y(x)*a*x^3-b*x = 0; 
dsolve(ode,y(x), singsol=all);
 

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

✓ Mathematica. Time used: 12.54 (sec). Leaf size: 2428

ode=-(b*x) + a*x^3*y[x] + Derivative[3][y][x] == 0; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

Too large to display

✗ Sympy

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

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