Internal problem ID [5285]
Book: Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres.
McGraw Hill 1952
Section: Chapter 5. Equations of first order and first degree (Exact equations). Supplemetary
problems. Page 33
Problem number: 25 (L).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class G`], _rational, _Bernoulli]
\[ \boxed {2 y-3 x y^{2}-y^{\prime } x=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve((2*y(x)-3*x*y(x)^2)-x*diff(y(x),x)=0,y(x), singsol=all)
\[ y = \frac {x^{2}}{x^{3}+c_{1}} \]
✓ Solution by Mathematica
Time used: 0.145 (sec). Leaf size: 22
DSolve[(2*y[x]-3*x*y[x]^2)-x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^2}{x^3+c_1} y(x)\to 0 \end{align*}