演習問題

1.

次の積分方程式を解け．

(a)

$${ y(t) = e^{-t} + 2\int_{0}^{t}e^{-3\tau}y(t- \tau)d\tau}$$

(b)

$${ y(t) = \cos{t} + \int_{0}^{t}y(t-\tau)e^{-2\tau}d\tau}$$

(c)

$${ y(t) = 2t + 1 + \int_{0}^{t}y(t- \tau)e^{-\tau}d\tau}$$