Internal problem ID [1953]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational]
\[ \boxed {x y^{2}+2 y+\left (2 y^{3}-x^{2} y+2 x \right ) y^{\prime }=0} \]
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[(x*y[x]^2+2*y[x])+(2*y[x]^3-x^2*y[x]+2*x)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved