Internal problem ID [6611]
Book: First order enumerated odes
Section: section 1
Problem number: 48.
ODE order: 1.
ODE degree: 48.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {x \left (y^{\prime }\right )^{n}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.003 (sec). Leaf size: 5
dsolve(x*diff(y(x),x)^n=0,y(x), singsol=all)
\[ y \relax (x ) = c_{1} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 15
DSolve[x*(y'[x])^n==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 0^{\frac {1}{n}} x+c_1 \\ \end{align*}