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The Solution Of f(t)=cos⁡t+∫0te−τf(t−τ)dτf ( t ) = \cos t + \int _ { 0 } ^ { t } e ^ { - \tau } f ( t - \tau ) d \tau

Question 3

Multiple Choice

The solution of f(t) =cos⁡t+∫0te−τf(t−τ) dτf ( t ) = \cos t + \int _ { 0 } ^ { t } e ^ { - \tau } f ( t - \tau ) d \tau is


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

Correct Answer:

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