Internal problem ID [1086]
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: 27.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class G], _rational, _Bernoulli]
Solve \begin {gather*} \boxed {3 x^{2} y^{2}+2 y+2 y^{\prime } x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.005 (sec). Leaf size: 18
dsolve((3*x^2*y(x)^2+2*y(x))+(2*x)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {2}{\left (3 x +2 c_{1}\right ) x} \]
✓ Solution by Mathematica
Time used: 0.152 (sec). Leaf size: 25
DSolve[(3*x^2*y[x]^2+2*y[x])+(2*x)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {2}{3 x^2+2 c_1 x} \\ y(x)\to 0 \\ \end{align*}