Let D be the subset of the plane defined as D := {(t, x) t ≤ a} CR2, where a € R. onsider the following initial condition problems: ▪=t-, x(2) = 1 ▪ = 2t (1+x), x(0) = 0 ) Using Picard's sequence method, find the solution of each of the proposed problems. present a detailed proof that each of these initial condition

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4. Let D be the subset of the plane defined as D := {(t, x): |t| <a} CR², where a € R.
Consider the following initial condition problems:
■=t-, x(2) = 1
▪ = 2t(1+x), x(0) = 0
(b) Using Picard's sequence method, find the solution of each of the proposed problems.
present a detailed proof that each of these initial condition
Transcribed Image Text:4. Let D be the subset of the plane defined as D := {(t, x): |t| <a} CR², where a € R. Consider the following initial condition problems: ■=t-, x(2) = 1 ▪ = 2t(1+x), x(0) = 0 (b) Using Picard's sequence method, find the solution of each of the proposed problems. present a detailed proof that each of these initial condition
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