Find the Solution of the Initial-Value Problem $\frac { d y } { d t } = 3 y + 1$

question 95

Multiple Choice

Find the solution of the initial-value problem $\frac { d y } { d t } = 3 y + 1$ , $y ( 0 ) = 2$ .

• A) \(y = \frac { 1 } { 3 } \left( 7 e ^ { t } - 1 \right)\)
• B) \(y = \left( 7 e ^ { t } - 5 \right)\)
• C) \(y = \frac { 1 } { 3 } \left( e ^ { 3 t } - 1 \right)\)
• D) \(y = \left( 3 e ^ { 3 t } - 1 \right)\)
• E) \(y = \frac { 1 } { 3 } \left( 5 e ^ { 3 t } + 1 \right)\)
• F) \(y = \left( 5 e ^ { 3 t } + 1 \right)\)
• G) \(y = \frac { 1 } { 3 } \left( 7 e ^ { 3 t } - 1 \right)\)
• H) \(y = \left( 7 e ^ { 3 t } - 1 \right)\)

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