Consider the Differential Equation $y ^ { \prime }$ = $t ^ { 3 }$

Multiple Choice

Consider the differential equation $y ^ { \prime }$ = $t ^ { 3 }$ (y + 3) . Which of the following statements is/are true?
(I) f(t) = -3 is a constant solution to this differential equation.
(II) f(t) = 0 is a constant solution to this differential equation.
(III) If f(t) is a solution to the differential equation with initial conditions y(1) = 0, then $f ^ { \prime }$ (1) = 3.

A) I and III
B) II only
C) III only
D) I only
E) I, II, and III