Solve the Initial-Value Problem $\frac { d r } { d t } + 2 t r - r = 0 , \quad r ( 0 ) = 10$

Solve the initial-value problem. $\frac { d r } { d t } + 2 t r - r = 0 , \quad r ( 0 ) = 10$

A) $r ( t ) = 10 e ^ { t - 10 t ^ { 2 } }$
B) $r ( t ) = e ^ { 10 t - t ^ { 2 } }$
C) $r ( t ) = 10 e ^ { t ^ { 2 } }$
D) $r ( t ) = 2 e ^ { t - t ^ { 2 } }$
E) $\text { none of these }$

Correct Answer:

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