Solve the Initial-Value Problem $r ^ { t } + 2 t r = r , r ( 0 ) = 6$

Multiple Choice

Solve the initial-value problem. $r ^ { t } + 2 t r = r , r ( 0 ) = 6$

A)
$r ( t ) = \frac { e ^ { t ^ { 2 } } } { 6 }$
B) $r ( t ) = 6 e ^ { t - t ^ { 2 } }$
C) $r ( t ) = e ^ { t - 6 t ^ { 2 } }$
D) $r ( t ) = 6 e ^ { t - 2 t }$
E) $r ( t ) = 6 e ^ { 2 t }$