15.20.14 problem 14

Internal problem ID [3322]
Book : Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath. Boston. 1964
Section : Exercise 38, page 173
Problem number : 14
Date solved : Friday, March 14, 2025 at 01:27:26 AM
CAS classification : [_dAlembert]

\begin{align*} 2 {y^{\prime }}^{5}+2 y^{\prime } x&=y \end{align*}

✓ Maple. Time used: 0.040 (sec). Leaf size: 1295

ode:=2*diff(y(x),x)^5+2*x*diff(y(x),x) = y(x); 
dsolve(ode,y(x), singsol=all);
 

\begin{align*} \text {Solution too large to show}\end{align*}

✓ Mathematica. Time used: 2.023 (sec). Leaf size: 2226

ode=2*D[y[x],x]^5+2*D[y[x],x]*x==y[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(2*x*Derivative(y(x), x) - y(x) + 2*Derivative(y(x), x)**5,0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

NotImplementedError : The given ODE 2*x*Derivative(y(x), x) - y(x) + 2*Derivative(y(x), x)**5 cannot be solved by the lie group method