Sketch the region of continuity for f (x; y) on a set of axes and sketch...

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Advance Math

Sketch the region of continuity for f (x; y) on a set of axesand sketch the region of

continuity for df/dy (x. y) on a separate set of axes. ApplyPicard’s Theorem to determine whether the

solution exists and whether it is unique.

a) y'  = 2x2y + 3xy2 ; y(1) =2

b) y' = sqrt(2x - 3y) ; y(3) = 2

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