Internal problem ID [2684]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational]
Solve \begin {gather*} \boxed {x^{2}+y^{3}+y+\left (x^{3}+y^{2}-x \right ) y^{\prime }=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[(x^2+y[x]^3+y[x])+( x^3+y[x]^2-x )*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved