56.5.23 problem 23

Internal problem ID [8984]
Book : Own collection of miscellaneous problems
Section : section 5.0
Problem number : 23
Date solved : Monday, January 27, 2025 at 05:26:30 PM
CAS classification : [_rational, [_Abel, `2nd type`, `class B`]]

\begin{align*} y^{\prime }&=\frac {y x +3 x -2 y+6}{y x -3 x -2 y+6} \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[D[y[x],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