74.1.57 problem 79

Internal problem ID [15766]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number : 79
Date solved : Monday, March 31, 2025 at 01:47:37 PM
CAS classification : [_rational]

\begin{align*} 4 x \left (x^{2}+y^{2}\right )-5 y+4 y \left (x^{2}+y^{2}-5 x \right ) y^{\prime }&=0 \end{align*}

✗ Maple

ode:=4*x*(x^2+y(x)^2)-5*y(x)+4*y(x)*(x^2+y(x)^2-5*x)*diff(y(x),x) = 0; 
dsolve(ode,y(x), singsol=all);
 

\[ \text {No solution found} \]

✗ Mathematica

ode=(4*x*(x^2+y[x]^2)-5*y[x])+(4*y[x]*(x^2+y[x]^2-5*x))*D[y[x],x]==0; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

Not solved

✗ Sympy

from sympy import * 
x = symbols("x") 
y = Function("y") 
ode = Eq(4*x*(x**2 + y(x)**2) + (4*x**2 - 20*x + 4*y(x)**2)*y(x)*Derivative(y(x), x) - 5*y(x),0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

Timed Out