GATE ECE 1995 | Question 1.16

Question

Let $h(t)$ be the impulse response of a linear time invariant system. Then the response of the system for any input $u(t)$ is

• A. $\int_{0}^{t} h(\tau) u(t-\tau) d \tau$
• B. $\frac{d}{d t} \int_{0}^{t} h(\tau) u(t-\tau) d \tau$
• C. $\left[\int_{0}^{t} h(\tau) u(t-\tau) d \tau\right]$
• D. $\int_{0}^{t} h^{2}(\tau) u(t-\tau) d \tau$