Hey there,
So I'm trying to throw into Maple for analysis the Cauchy problem:
g := piecewise((t, y) <> (0, 0), 4*t^3*y/(t^4+y^2), (t, y) = (0, 0), 0)
y(0)=0.
Is this possible? I'm investigating Uniqueness/existence on it (even though I know the solution already, given that it's Bernoulli in dt/dy with general solution: y(t)=c^2-sqrt(t^4+c^4) , c is an element of the reals.
I've done some googling and looking around...