57.1.45 problem 45

Internal problem ID [9029]
Book : First order enumerated odes
Section : section 1
Problem number : 45
Date solved : Monday, January 27, 2025 at 05:27:39 PM
CAS classification : [_quadrature]

\begin{align*} x \sin \left (x \right ) {y^{\prime }}^{2}&=0 \end{align*}

✓ Solution by Maple

Time used: 0.020 (sec). Leaf size: 5

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

\[ y = c_{1} \]

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 7

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

\[ y(x)\to c_1 \]