60.4.26 problem 1482

Internal problem ID [11449]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 3, linear third order
Problem number : 1482
Date solved : Sunday, March 30, 2025 at 08:22:27 PM
CAS classification : [[_3rd_order, _linear, _nonhomogeneous]]

\begin{align*} 2 x y^{\prime \prime \prime }+3 y^{\prime \prime }+y a x -b&=0 \end{align*}

✓ Maple. Time used: 0.011 (sec). Leaf size: 1616

ode:=2*x*diff(diff(diff(y(x),x),x),x)+3*diff(diff(y(x),x),x)+y(x)*a*x-b = 0; 
dsolve(ode,y(x), singsol=all);
 

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

✓ Mathematica. Time used: 12.67 (sec). Leaf size: 2455

ode=-b + a*x*y[x] + 3*D[y[x],{x,2}] + 2*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*y(x) - b + 2*x*Derivative(y(x), (x, 3)) + 3*Derivative(y(x), (x, 2)),0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

NotImplementedError : solve: Cannot solve a*x*y(x) - b + 2*x*Derivative(y(x), (x, 3)) + 3*Derivative(y(x), (x, 2))