Internal problem ID [3779]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 36
Problem number: 1067.
ODE order: 1.
ODE degree: 3.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {x \left (y^{\prime }\right )^{3}-3 x^{2} y \left (y^{\prime }\right )^{2}+x \left (x^{5}+3 y^{2}\right ) y^{\prime }-2 y x^{5}-y^{3}=0} \end {gather*}
✗ Solution by Maple
dsolve(x*diff(y(x),x)^3-3*x^2*y(x)*diff(y(x),x)^2+x*(x^5+3*y(x)^2)*diff(y(x),x)-2*x^5*y(x)-y(x)^3 = 0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[x (y'[x])^3 -3 x^2 y[x] (y'[x])^2 +x(x^5+3 y[x]^2) y'[x]-2 x^5 y[x]- y[x]^3==0,y[x],x,IncludeSingularSolutions -> True]
Timed out