Internal problem ID [15152]
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: 290.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime } \left (3 x^{2}-2 x \right )-y \left (6 x -2\right )=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x)*(3*x^2-2*x)-y(x)*(6*x-2)=0,y(x), singsol=all)
\[ y = c_{1} x \left (3 x -2\right ) \]
✓ Solution by Mathematica
Time used: 0.036 (sec). Leaf size: 19
DSolve[y'[x]*(3*x^2-2*x)-y[x]*(6*x-2)==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 (2-3 x) x \\ y(x)\to 0 \\ \end{align*}