Question: Consider the differential equation... Daemi 2: Consider the differential equation u' = 2u /2, u(0) = 1 on the interval [0, 1]. 1. Solve the

Consider the differential equation...

Daemi 2: Consider the differential equation u' = 2u /2, u(0) = 1 on the interval [0, 1]. 1. Solve the differential equation with the given boundary conditions using seperati- on of variables. 2. Let uo(t) = 1 and find the next terms u1, 2 in the Picard-approximation of the function on the interval [0, 1]. 3. Graph the functions uj (t) /(t + 1)2, j = 0, 1, 2, and compare with u(t) /(t + 1)2

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