In: Advanced Math
Sketch the region of continuity for f (x; y) on a set of axes and sketch the region of
continuity for df/dy (x. y) on a separate set of axes. Apply Picard’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