Consider the Euler Method for the numerical approximation of the solution of

(A)--> y'(t) = f(t, y(t)), a t b,

y(a) = y₀,

(i) Set, on (A),

[a, b] := [1, 2],

f(t, y(t)) := 7y(t),

and y(1) = y₀ := 6. Apply the Euler Method for N = 17 and compute y³⁴.

(ii) Compute the exact solution of (??), and calculate the exact error of Euler Method of the previous question (i).

|yⁿ y(tⁿ)|,

for n = 8.