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

question 42

Multiple Choice

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

• 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) \(r ( t ) = 6 e ^ { 2 t }\)

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