ODE
\[ X^{2/3} y'(x)=Y^{2/3} \] ODE Classification
[_quadrature]
Book solution method
Separable ODE, Neither variable missing
Mathematica ✓
cpu = 0.149476 (sec), leaf count = 20
\[\left \{\left \{y(x)\to \frac {x Y^{2/3}}{X^{2/3}}+c_1\right \}\right \}\]
Maple ✓
cpu = 0.009 (sec), leaf count = 14
\[\left [y \left (x \right ) = \frac {Y^{\frac {2}{3}} x}{X^{\frac {2}{3}}}+\textit {\_C1}\right ]\] Mathematica raw input
DSolve[X^(2/3)*y'[x] == Y^(2/3),y[x],x]
Mathematica raw output
{{y[x] -> (x*Y^(2/3))/X^(2/3) + C[1]}}
Maple raw input
dsolve(X^(2/3)*diff(y(x),x) = Y^(2/3), y(x))
Maple raw output
[y(x) = Y^(2/3)/X^(2/3)*x+_C1]