29.36.7 problem 1071

Internal problem ID [5634]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 36
Problem number : 1071
Date solved : Monday, January 27, 2025 at 12:43:18 PM
CAS classification : [[_1st_order, _with_linear_symmetries]]

\begin{align*} x^{6} {y^{\prime }}^{3}-x y^{\prime }-y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.210 (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^{{3}/{2}}} \\ y \left (x \right ) &= \frac {2 \sqrt {3}}{9 x^{{3}/{2}}} \\ y \left (x \right ) &= c_{1}^{3}-\frac {c_{1}}{x} \\ \end{align*}

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[x^6 (D[y[x],x])^3 -x D[y[x],x] - y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Timed out