The Solution Of $f ( t ) = \cos t + \int _ { 0 } ^ { t } e ^ { - \tau } f ( t - \tau ) d \tau$

question 3

Multiple Choice

The solution of $f ( t ) = \cos t + \int _ { 0 } ^ { t } e ^ { - \tau } f ( t - \tau ) d \tau$ is

• A) \(f ( t ) = - \cos t + \sin t\)
• B) \(f ( t ) = \cos t - \sin t\)
• C) \(f ( t ) = \cos t + \sin t\)
• D) \(f ( t ) = - \cos t - \sin t\)
• E) \(f ( t ) = \cos t - 2 \sin t\)

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