87.6.6 problem 6

Internal problem ID [23323]
Book : Ordinary differential equations with modern applications. Ladas, G. E. and Finizio, N. Wadsworth Publishing. California. 1978. ISBN 0-534-00552-7. QA372.F56
Section : Chapter 1. Elementary methods. First order differential equations. Exercise at page 53
Problem number : 6
Date solved : Thursday, October 02, 2025 at 09:36:28 PM
CAS classification : [_rational]

\begin{align*} 2 x -3 y+\left (7 y^{2}+x^{2}\right ) y^{\prime }&=0 \end{align*}

✗ Maple

ode:=2*x-3*y(x)+(7*y(x)^2+x^2)*diff(y(x),x) = 0; 
dsolve(ode,y(x), singsol=all);
 

\[ \text {No solution found} \]

✗ Mathematica

ode=(2*x-3*y[x])+(7*y[x]^2+x^2)*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(2*x + (x**2 + 7*y(x)**2)*Derivative(y(x), x) - 3*y(x),0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

Timed Out