57.1.47 problem 47

Internal problem ID [9031]
Book : First order enumerated odes
Section : section 1
Problem number : 47
Date solved : Monday, January 27, 2025 at 05:27:40 PM
CAS classification : [_quadrature]

\begin{align*} {y^{\prime }}^{n}&=0 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 5

dsolve(diff(y(x),x)^n=0,y(x), singsol=all)
 

\[ y = c_{1} \]

✓ Solution by Mathematica

Time used: 0.005 (sec). Leaf size: 15

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

\[ y(x)\to 0^{\frac {1}{n}} x+c_1 \]