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Given the differential equation u' = et + u , u(0) = 0 We know that...

Given the differential equation u' = et + u , u(0) = 0

We know that u = tet

a)

Find the first four Picard approximation's of u

b)

Can you find a formula for the n-th Picard approximation so that when you take the limit when n→ ∞ you get the solution from the differential equation?

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