5. Consider the following LTIC system described by, y(t) + 2y(t) = f(t) + 3f (t), t≥ 0.

Determine the impulse response h(t) employing the direct method discussed in class.

Here, you first form a proper function h(t) with unknown coefficients (valid for t > 0)

and then solve for the unknown coefficients by substituting h(t) in the differential

equation.