1.) If $f$ is continuous, then on an appropriate domain, the initial
value problem $y' = f'(t)$, $y(t_0) = y_0$ has a unique solution.
A) True
B) False
2.) If $f$ is continuous, then on an appropriate domain, the initial
value problem $y' = f'(t, y)$, $y(t_0) = y_0$ always has a unique
solution.
A) True
B) False
3.) The initial value problem $y' = y^\frac{1}{3}$, $y(2) = 0$ has three
different solutions.
A) True
B) False
4.) The initial
value problem $y' = f'(t, y)$, $y(t_0) = y_0$ might not have a
solution.
A) True
B) False