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

question 27

Multiple Choice

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) \(r ( t ) = 2 e ^ { 2 t }\)

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