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

question 89

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

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