1. In the following exercises, solve the following integral or integrodifferential equations. Solutions are below. Solutions: rt...

1. In the following exercises, solve the following integral or integrodifferential equations. Solutions are below.

Solutions:

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rt a) f(t) + / (t – 7)f(7)dr = t b) f(t) = te' + | Tf(t - T)dr c) f(t) + f(7)dr = 1 d) f(t) = 1+t- (t – 7)°f(r)dr 3 Jo e) y'(t) = 1– sin(t) - | y(r)dr, y(0) = 0 rt a) f(t) + / (t – 7)f(7)dr = t b) f(t) = te' + | Tf(t - T)dr c) f(t) + f(7)dr = 1 d) f(t) = 1+t- (t – 7)°f(r)dr 3 Jo e) y'(t) = 1– sin(t) - | y(r)dr, y(0) = 0