29.36.4 problem 1067

Internal problem ID [5631]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 36
Problem number : 1067
Date solved : Monday, January 27, 2025 at 12:32:07 PM
CAS classification : [`y=_G(x,y')`]

\begin{align*} x {y^{\prime }}^{3}-3 x^{2} y {y^{\prime }}^{2}+x \left (x^{5}+3 y^{2}\right ) y^{\prime }-2 x^{5} y-y^{3}&=0 \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[x (D[y[x],x])^3 -3 x^2 y[x] (D[y[x],x])^2 +x(x^5+3 y[x]^2) D[y[x],x]-2 x^5 y[x]- y[x]^3==0,y[x],x,IncludeSingularSolutions -> True]
 

Timed out