The Solution Of $y ^ { \prime } + 6 y + 9 \int _ { 0 } ^ { t } y ( \tau ) d \tau = 1 , y ( 0 ) = 1$

The solution of $y ^ { \prime } + 6 y + 9 \int _ { 0 } ^ { t } y ( \tau ) d \tau = 1 , y ( 0 ) = 1$ is

A) $e ^ { 3 t } - 2 t e ^ { 3 t }$
B) $e ^ { 3 t } + 2 t e ^ { 3 t }$
C) $- e ^ { - 3 t } - 2 t e ^ { - 3 t }$
D) $e ^ { - 3 t } - 2 t e ^ { - 3 t }$
E) $e ^ { - 3 t } + 2 t e ^ { - 3 t }$

Correct Answer:

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