60.1.233 problem 234

Internal problem ID [10247]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 234
Date solved : Monday, January 27, 2025 at 06:41:34 PM
CAS classification : [_rational, [_Abel, `2nd type`, `class B`]]

\begin{align*} x y y^{\prime }-y^{2}+y x +x^{3}-2 x^{2}&=0 \end{align*}

✗ Solution by Maple

dsolve(x*y(x)*diff(y(x),x)-y(x)^2+x*y(x)+x^3-2*x^2=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[x*y[x]*D[y[x],x]-y[x]^2+x*y[x]+x^3-2*x^2==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved