Solve the integral equation f(t) = 1 + t − (8/3) ∫₀^{t} (τ − t)³ f(τ) dτ

Exercise 7.4.47

$Handwritten solution, page 1 of 1. Solve the integral equation f(t) = 1 + t − (8/3) ∫₀^{t} (τ − t)³ f(τ) dτ$