Question

Can somebody find where my error is in the problem. I am using one of the properties of convolution but im getting the wrong answer. The answer is suppose to be e^-t

Convolution Sezu(4) で

Answer 1

always use this  property of convolution

this property says that if two signals are convoluted in time domain then they will be multiplied in frequency domain.

Always use this property of convolution this property says that if two signals are convoluted in time domain then they will be multiplied in frequency domain. y(t) = S_1 (t) * S_2 (t) y(s) = s_1 (s) middot s_2 (s) s_1 (s) = 1/s, s_2 (s) = 1 - 1/s + 1 Y(s) = 1/s (1 - 1/s + 1) = 1/s (s + 1 -1/s + 1) = 1/s (s/s + 1) = 1/s + 1 Take inverse Laplace transform y(t) = e^-t