Internal problem ID [7364]
Book: First order enumerated odes
Section: section 1
Problem number: 48.
ODE order: 1.
ODE degree: 0.
CAS Maple gives this as type [_quadrature]
\[ \boxed {x {y^{\prime }}^{n}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 5
dsolve(x*diff(y(x),x)^n=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 15
DSolve[x*(y'[x])^n==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 0^{\frac {1}{n}} x+c_1 \]