29.14.23 problem 404

Internal problem ID [5002]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 14
Problem number : 404
Date solved : Monday, January 27, 2025 at 10:02:38 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 5

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

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

✓ Solution by Mathematica

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

DSolve[D[y[x],x] Sqrt[X]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 \]