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

question 106

Multiple Choice

Solve the initial-value problem $\frac { d y } { d t } = 3 y + 1$ , $y ( 0 ) = 2$ . Then use your solution to evaluate $y ( \ln 2 )$ .

• A) \(\frac { 3 } { 13 }\)
• B) \(\frac { 3 } { 55 }\)
• C) \(\frac { 7 } { 3 }\)
• D) \(\frac { 41 } { 3 }\)
• E) \(\frac { 13 } { 3 }\)
• F) \(\frac { 55 } { 3 }\)
• G) \(\frac { 3 } { 7 }\)
• H)9

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