1. The problem statement, all variables and given/known data Indicate following properties for the system with the given input-output equation: -Linearity, Causality, Time Invariance, memoryless or not and explain why? 2. Relevant equations y(t) = ∫t-∞ (t - λ) x(λ) dλ 3. The attempt at a solution lets say X(t) is the antiderivative of x(t), then: y(t) = t ∫t-∞ x(λ) - ∫t-∞ λ x(λ) dλ = t (X(t) - X(-∞)) - (t X(t) - X(t) - (-∞ X(-∞) - X(-∞))) now we have the relation between y(t) and X(t) but how can we obtain the relation between y(t) and x(t) to find out about the causality and memory properties? can this be a clue or I am doing wrong?