60.1.519 problem 532

Internal problem ID [10533]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 532
Date solved : Sunday, March 30, 2025 at 05:48:30 PM
CAS classification : [_quadrature]

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

✓ Maple. Time used: 0.086 (sec). Leaf size: 914

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

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

✓ Mathematica. Time used: 0.469 (sec). Leaf size: 1064

ode=-d - y[x] + c*D[y[x],x] + b*D[y[x],x]^2 + a*D[y[x],x]^3==0; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

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

✗ Sympy

from sympy import * 
x = symbols("x") 
a = symbols("a") 
b = symbols("b") 
c = symbols("c") 
d = symbols("d") 
y = Function("y") 
ode = Eq(a*Derivative(y(x), x)**3 + b*Derivative(y(x), x)**2 + c*Derivative(y(x), x) - d - y(x),0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

Timed Out