ODE's

[parisse]

P.S.: most of the time you can not express parametric solutions of an homogeneous equation explicitly (i.e. y in terms of x with usual functions).
Here you can, indeed (using Xcas notations)
Y:=desolve(x^2*y'-3*x*y-2y^2=0);
[t]:=solve(Y[1,0]=x,` t`);
normal(t*x); returns x^3/(c_0^2-x^2)