Internal problem ID [4290]
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]]
\[ \boxed {x^{6} {y^{\prime }}^{3}-x y^{\prime }-y=0} \]
✓ Solution by Maple
Time used: 0.125 (sec). Leaf size: 36
dsolve(x^6*diff(y(x),x)^3-x*diff(y(x),x)-y(x) = 0,y(x), singsol=all)
\begin{align*} y \left (x \right ) &= -\frac {2 \sqrt {3}}{9 x^{\frac {3}{2}}} \\ y \left (x \right ) &= \frac {2 \sqrt {3}}{9 x^{\frac {3}{2}}} \\ y \left (x \right ) &= c_{1}^{3}-\frac {c_{1}}{x} \\ \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