Internal problem ID [6563]
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]]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {x y+3 x -2 y+6}{x y-3 x -2 y+6}=0} \end {gather*}
✗ 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