ODE
\[ \sqrt {X} y'(x)=\sqrt {Y} \] ODE Classification
[_quadrature]
Book solution method
Separable ODE, Neither variable missing
Mathematica ✓
cpu = 0.148284 (sec), leaf count = 20
\[\left \{\left \{y(x)\to \frac {x \sqrt {Y}}{\sqrt {X}}+c_1\right \}\right \}\]
Maple ✓
cpu = 0.007 (sec), leaf count = 14
\[\left [y \left (x \right ) = \frac {\sqrt {Y}\, x}{\sqrt {X}}+\textit {\_C1}\right ]\] Mathematica raw input
DSolve[Sqrt[X]*y'[x] == Sqrt[Y],y[x],x]
Mathematica raw output
{{y[x] -> (x*Sqrt[Y])/Sqrt[X] + C[1]}}
Maple raw input
dsolve(diff(y(x),x)*X^(1/2) = Y^(1/2), y(x))
Maple raw output
[y(x) = Y^(1/2)/X^(1/2)*x+_C1]