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 : Sunday, March 30, 2025 at 04:30:05 AM
CAS classification : [_quadrature]

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

✓ Maple. Time used: 0.001 (sec). Leaf size: 5

ode:=diff(y(x),x)*X^(1/2) = 0; 
dsolve(ode,y(x), singsol=all);
 

\[ y = c_1 \]

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

ode=D[y[x],x] Sqrt[X]==0; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

\[ y(x)\to c_1 \]

✓ Sympy. Time used: 0.058 (sec). Leaf size: 3

from sympy import * 
x = symbols("x") 
X = symbols("X") 
y = Function("y") 
ode = Eq(sqrt(X)*Derivative(y(x), x),0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

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