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

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

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

Correct Answer:

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