83.43.19 problem Ex 20 page 24

Internal problem ID [19456]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Book Solved Excercises. Chapter II. Equations of first order and first degree
Problem number : Ex 20 page 24
Date solved : Monday, March 31, 2025 at 07:18:31 PM
CAS classification : [_rational]

\begin{align*} 3 x^{2} y^{4}+2 x y+\left (2 x^{3} y^{2}-x^{2}\right ) y^{\prime }&=0 \end{align*}

✗ Maple

ode:=3*x^2*y(x)^4+2*x*y(x)+(2*x^3*y(x)^2-x^2)*diff(y(x),x) = 0; 
dsolve(ode,y(x), singsol=all);
 

\[ \text {No solution found} \]

✗ Mathematica

ode=(3*x^2*y[x]^4+2*x*y[x])+(2*x^3*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(3*x**2*y(x)**4 + 2*x*y(x) + (2*x**3*y(x)**2 - x**2)*Derivative(y(x), x),0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

Timed Out