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 = 0.00191894 (sec), leaf count = 7

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

Maple
cpu = 0.003 (sec), leaf count = 5

\[ \left \{ y \relax (x ) ={\it \_C1} \right \} \] 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),'implicit')

Maple raw output

y(x) = _C1