Internal problem ID [3638]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 31
Problem number: 910.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [_rational]
Solve \begin {gather*} \boxed {x^{2} \left (y^{\prime }\right )^{2}+x \left (x^{2}+y x -2 y\right ) y^{\prime }+\left (1-x \right ) \left (x^{2}-y\right ) y=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[x^2 (y'[x])^2+x(x^2+x y[x]-2 y[x])y'[x]+(1-x)(x^2-y[x])y[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved