ODE
\[ y'(x)=\sqrt {X Y} \] ODE Classification
[_quadrature]
Book solution method
Separable ODE, Neither variable missing
Mathematica ✓
cpu = 0.164851 (sec), leaf count = 17
\[\left \{\left \{y(x)\to x \sqrt {X Y}+c_1\right \}\right \}\]
Maple ✓
cpu = 0.006 (sec), leaf count = 13
\[\left [y \left (x \right ) = \sqrt {X Y}\, x +\textit {\_C1}\right ]\] Mathematica raw input
DSolve[y'[x] == Sqrt[X*Y],y[x],x]
Mathematica raw output
{{y[x] -> x*Sqrt[X*Y] + C[1]}}
Maple raw input
dsolve(diff(y(x),x) = (X*Y)^(1/2), y(x))
Maple raw output
[y(x) = (X*Y)^(1/2)*x+_C1]