Internal problem ID [7316]
Book: Own collection of miscellaneous problems
Section: section 5.0
Problem number: 23.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational, [_Abel, `2nd type`, `class B`]]
\[ \boxed {y^{\prime }-\frac {y x +3 x -2 y+6}{y x -3 x -2 y+6}=0} \]
✗ Solution by Maple
dsolve(diff(y(x),x)=(x*y(x)+3*x-2*y(x)+6)/(x*y(x)-3*x-2*y(x)+6),y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y'[x]==(x*y[x]+3*x-2*y[x]+6)/(x*y[x]-3*x-2*y[x]+6),y[x],x,IncludeSingularSolutions -> True]
Not solved