Internal problem ID [2018]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 11, page 45
Problem number: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class A`], _rational, _Bernoulli]
\[ \boxed {y^{\prime } x^{2}+y^{2}-y x=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 12
dsolve(x^2*diff(y(x),x)+y(x)^2=x*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {x}{\ln \left (x \right )+c_{1}} \]
✓ Solution by Mathematica
Time used: 0.134 (sec). Leaf size: 19
DSolve[x^2*y'[x]+y[x]^2==x*y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x}{\log (x)+c_1} \\ y(x)\to 0 \\ \end{align*}