Internal problem ID [3782]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 36
Problem number: 1071.
ODE order: 1.
ODE degree: 3.
CAS Maple gives this as type [[_1st_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {x^{6} \left (y^{\prime }\right )^{3}-y^{\prime } x -y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.375 (sec). Leaf size: 28
dsolve(x^6*diff(y(x),x)^3-x*diff(y(x),x)-y(x) = 0,y(x), singsol=all)
\begin{align*} y \relax (x ) = c_{1}^{6}-\sqrt {\frac {c_{1}^{2}}{x^{2}}}\, c_{1} \\ y \relax (x ) = \frac {c_{1}}{x^{\frac {3}{2}}} \\ \end{align*}
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[x^6 (y'[x])^3 -x y'[x] - y[x]==0,y[x],x,IncludeSingularSolutions -> True]
Timed out