Internal problem ID [2609]
Book: Differential equations with applications and historial notes, George F. Simmons,
1971
Section: Chapter 2, End of chapter, page 61
Problem number: 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational]
Solve \begin {gather*} \boxed {x^{2}+y+y^{3}-\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),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],y[x],x,IncludeSingularSolutions -> True]
Not solved