28.1.48 problem 49

Internal problem ID [4354]
Book : Differential equations for engineers by Wei-Chau XIE, Cambridge Press 2010
Section : Chapter 2. First-Order and Simple Higher-Order Differential Equations. Page 78
Problem number : 49
Date solved : Monday, January 27, 2025 at 09:08:45 AM
CAS classification : [_rational]

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

✗ Solution by Maple

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

Not solved