29.31.11 problem 910

Internal problem ID [5490]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 31
Problem number : 910
Date solved : Monday, January 27, 2025 at 11:28:51 AM
CAS classification : [_rational]

\begin{align*} x^{2} {y^{\prime }}^{2}+x \left (x^{2}+y x -2 y\right ) y^{\prime }+\left (1-x \right ) \left (x^{2}-y\right ) y&=0 \end{align*}

✗ Solution by Maple

dsolve(x^2*diff(y(x),x)^2+x*(x^2+x*y(x)-2*y(x))*diff(y(x),x)+(1-x)*(x^2-y(x))*y(x) = 0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[x^2 (D[y[x],x])^2+x(x^2+x y[x]-2 y[x])D[y[x],x]+(1-x)(x^2-y[x])y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved