83.43.19 problem Ex 20 page 24

Internal problem ID [19527]
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 : Tuesday, January 28, 2025 at 01:49:23 PM
CAS classification : [_rational]

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

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[(3*x^2*y[x]^4+2*x*y[x])+(2*x^3*y[x]^2-x^2 )*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved