Internal problem ID [15143]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 12. Miscellaneous problems. Exercises page 93
Problem number: 281.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_Bernoulli]
\[ \boxed {y-x y^{2} \ln \left (x \right )+x y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve((y(x)-x*y(x)^2*ln(x))+(x)*diff(y(x),x)=0,y(x), singsol=all)
\[ y = -\frac {2}{\left (\ln \left (x \right )^{2}-2 c_{1} \right ) x} \]
✓ Solution by Mathematica
Time used: 0.153 (sec). Leaf size: 27
DSolve[(y[x]-x*y[x]^2*Log[x])+x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {2}{-x \log ^2(x)+2 c_1 x} \\ y(x)\to 0 \\ \end{align*}