57.1.46 problem 46

Internal problem ID [9030]
Book : First order enumerated odes
Section : section 1
Problem number : 46
Date solved : Monday, January 27, 2025 at 05:27:39 PM
CAS classification : [_quadrature]

\begin{align*} y {y^{\prime }}^{2}&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 9

dsolve(y(x)*diff(y(x),x)^2=0,y(x), singsol=all)
 

\begin{align*} y &= 0 \\ y &= c_{1} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 12

DSolve[y[x]*(D[y[x],x])^2==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to 0 \\ y(x)\to c_1 \\ \end{align*}