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

question 42

Multiple Choice

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) \(\text { none of these }\)

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