Internal problem ID [128]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Chapter 1 review problems. Page 78
Problem number: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class A`], _rational, _Bernoulli]
\[ \boxed {2 y x +y^{\prime } x^{2}-y^{2}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(2*x*y(x)+x^2*diff(y(x),x) = y(x)^2,y(x), singsol=all)
\[ y \left (x \right ) = \frac {3 x}{3 c_{1} x^{3}+1} \]
✓ Solution by Mathematica
Time used: 0.122 (sec). Leaf size: 24
DSolve[2*x*y[x]+x^2*y'[x] == y[x]^2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {3 x}{1+3 c_1 x^3} y(x)\to 0 \end{align*}