(Solution) - For each of problem answer the following question a Does picard s -(2025 Original AI-Free Solution)

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For each of problem answer the following question
a. Does picard's theorem apply to the given IVP Explain
b. If your answer to part (a) is yes, is there a largest rectangle for which picard's conditions hold
c. If you answer to part (a) is no are there other initial condition y(t0) = y0 for which the answer would be yes? Try describing the set of all such points.
y' + ty = 1 , y (0) = 0