1.40 problem 40

Internal problem ID [7356]

Book: First order enumerated odes
Section: section 1
Problem number: 40.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y y^{\prime }=0} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 11

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

\begin{align*} y \left (x \right ) &= 0 \\ y \left (x \right ) &= -c_{1} \\ \end{align*}

Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 12

DSolve[y[x]*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

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