82.8.13 problem 36-14

Internal problem ID [21884]
Book : The Differential Equations Problem Solver. VOL. II. M. Fogiel director. REA, NY. 1978. ISBN 78-63609
Section : Chapter 36. Nonlinear differential equations. Page 1203
Problem number : 36-14
Date solved : Thursday, October 02, 2025 at 08:03:29 PM
CAS classification : [[_homogeneous, `class C`], _dAlembert]

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

✓ Maple. Time used: 0.015 (sec). Leaf size: 903

ode:=y(x) = 2*x+diff(y(x),x)-1/3*diff(y(x),x)^3; 
dsolve(ode,y(x), singsol=all);
 

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

✓ Mathematica. Time used: 132.138 (sec). Leaf size: 3132

ode=y[x]==2*x+D[y[x],x]-1/2*D[y[x],x]^3; 
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 + y(x) + Derivative(y(x), x)**3/2 - Derivative(y(x), x),0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

Timed Out