For each choice of f (t, y) given in parts (a)-(d):
i. Does f satisfy a Lipschitz condition on D = {(t, y) | 0 ≤ t ≤ 1, −∞ < y < ∞}?
ii. Can Theorem 5.6 be used to show that the initial-value problem
y = f (t, y), 0≤ t ≤ 1, y(0) = 1,
is well-posed?
a. f (t, y) = t2y + 1
b. f (t, y) = ty
c. f (t, y) = 1 − y
d. f (t, y) = −ty +4t/y
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