An LTI system has impulse response h(t) = e^(-|t|) and input x(t) = e^t. Use the convolution integral y(t) = ∫[h(t-T) * x(T)] dT to find an expression for the system output, y(t). Hint: use the Table of Fourier Transforms.
Suppose ω = 2 rad/s. Enter the dominant frequency of the output y(t) in rad/s.