Which Equation Does the Function $y = e ^ { - 3 t }$

Which equation does the function $y = e ^ { - 3 t }$ satisfy?

A) $y ^ { \prime \prime } - y ^ { \prime } + 12 y = 0$
B) $y ^ { \prime \prime } + y ^ { \prime } - 12 y = 0$
C) $y ^ { \prime \prime } + y ^ { \prime } + 12 y = 0$
D) $y ^ { \prime \prime } - 3 y ^ { \prime } + 12 y = 0$
E) $y ^ { \prime \prime } - y ^ { \prime } - 12 y = 0$

Correct Answer:

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