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(Q3) Consider the equation:
y′ = y1/3, y(0) = 0
. (a)Does the above IVP have any solution?
(b)Is the solution unique?
(c)Interpret your results in light of the theorem of existence and uniqueness.

(Q3) Consider the equation: y = y1/3, y(0) = 0 . (a)Does the above IVP have any solution? (b) Is the solution unique? (c)Int
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Answer #1

(a) y = V8 , 9(0) = 0 % = n to 3% = utc y (o)=0 then 3x0 = 0 + c = (6= 0] so a = 3% 9% (33%8= = 19 = (2323% Yes It has soluti4 & #62, 9) is Continuous fchio) is not boundled. 9 (0)=0 in neibhourhood of origin so it is not satisfied the conditions ofdy = 13 (n-1) => 1 0 = (n-taj? intervaly R-so} (-es, o) u (o, co)

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