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

Question 3

Multiple Choice

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


A) f(t) =cost+sintf ( t ) = - \cos t + \sin t
B) f(t) =costsintf ( t ) = \cos t - \sin t
C) f(t) =cost+sintf ( t ) = \cos t + \sin t
D) f(t) =costsintf ( t ) = - \cos t - \sin t
E) f(t) =cost2sintf ( t ) = \cos t - 2 \sin t

Correct Answer:

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