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Question: How do I create a 2-variable piecewise function?

Question:How do I create a 2-variable piecewise function?

smokeybob 132 Maple
September 12 2011
0

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 in the maple help but it hasn't helped a whole tonne!

G 
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