Solve the Initial Value Problem A) $y = \frac { e ^ { 2 t } } { 4 } - 4 \sin t + 8 t - \frac { 1 } { 4 }$

question 135

Multiple Choice

Solve the initial value problem.
- $$\frac { \mathrm { d } ^ { 2 } \mathrm { y } } { \mathrm { dt } ^ { 2 } } = \mathrm { e } ^ { 2 \mathrm { t } } + 4 \sin \mathrm { t } , \mathrm { y } ( 0 ) = 0 , \mathrm { y } ^ { \prime } ( 0 ) = 8$$

• A) \(y = \frac { e ^ { 2 t } } { 4 } - 4 \sin t + 8 t - \frac { 1 } { 4 }\)
• B) \(y = \frac { e ^ { 2 t } } { 4 } - 4 \sin t + \frac { 23 } { 2 } t - \frac { 1 } { 4 }\)
• C) \(y = e ^ { 2 t } - 4 \sin t + 11 t - \frac { 1 } { 4 }\)
• D) \(y = \frac { e ^ { 2 t } } { 4 } - 4 \sin t\)

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