Internal problem ID [1075]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 2, First order equations. Exact equations. Integrating factors. Section 2.6 Page
91
Problem number: 15.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational]
Solve \begin {gather*} \boxed {2 y x +y^{2}+\left (2 y x +x^{2}-2 x y^{2}-2 x y^{3}\right ) y^{\prime }=0} \end {gather*}
✗ Solution by Maple
dsolve((2*x*y(x)+y(x)^2)+(2*x*y(x)+x^2-2*x*y(x)^2-2*x*y(x)^3)*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[(2*x*y[x]+y[x]^2)+(2*x*y[x]+x^2-2*x*y[x]^2-2*x*y[x]^3)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved