The Volterra integral equation is given by:
$$f(t) = g(t) + \int_{0}^{t} f(\tau) h(t-\tau) d\tau$$
Comparing this with the given equation, we have $g(t) = 1$ and $h(t-\tau) = 1$. So, the given equation can be rewritten as:
$$f(t) = 1 - \int_{0}^{t} f(\tau) d\tau$$
Show more…