4.9.7 \(\sqrt {X} y'(x)=0\)

ODE
\[ \sqrt {X} y'(x)=0 \] ODE Classification

[_quadrature]

Book solution method
Separable ODE, Dependent variable missing

Mathematica
cpu = 0.1444 (sec), leaf count = 7

\[\{\{y(x)\to c_1\}\}\]

Maple
cpu = 0.004 (sec), leaf count = 5

\[[y \left (x \right ) = \textit {\_C1}]\] Mathematica raw input

DSolve[Sqrt[X]*y'[x] == 0,y[x],x]

Mathematica raw output

{{y[x] -> C[1]}}

Maple raw input

dsolve(diff(y(x),x)*X^(1/2) = 0, y(x))

Maple raw output

[y(x) = _C1]