Solve the Initial Value Problem $$\frac { d y } { d t } + 5 y = 3 ; y ( 0 ) = 1$$

question 5

Multiple Choice

Solve the initial value problem.
- $$\frac { d y } { d t } + 5 y = 3 ; y ( 0 ) = 1$$

• A) \(y = \frac { 3 } { 5 } e ^ { - 5 t } + \frac { 2 } { 5 }\)
• B) \(y = \frac { 2 } { 5 } e ^ { 5 t } + \frac { 3 } { 5 }\)
• C) \(y = \frac { 2 } { 5 } e ^ { - 5 t } + \frac { 3 } { 5 }\)
• D) \(y = \frac { 3 } { 5 } e ^ { 5 t } + \frac { 2 } { 5 }\)

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Definitions:

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