15.4.11 problem 12

Internal problem ID [2924]
Book : Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath. Boston. 1964
Section : Exercise 8, page 34
Problem number : 12
Date solved : Monday, January 27, 2025 at 06:56:48 AM
CAS classification : [_rational]

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

✗ Solution by Maple

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

Not solved