1.45 problem 45

Internal problem ID [7361]

Book: First order enumerated odes
Section: section 1
Problem number: 45.
ODE order: 1.
ODE degree: 2.

CAS Maple gives this as type [_quadrature]

\[ \boxed {x \sin \left (x \right ) {y^{\prime }}^{2}=0} \]

Solution by Maple

Time used: 0.015 (sec). Leaf size: 5

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

\[ y \left (x \right ) = c_{1} \]

Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 7

DSolve[x*Sin[x]*y'[x]^2==0,y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

\[ y(x)\to c_1 \]