43. The joint density of X and Y is $$ f(x, y) = c(x- y)e^{-x} $$ 0...

43. The joint density of X and Y is

$$

f(x, y) = c(x²- y²)e^{-x}

$$

0 ≤ x < ∞, -x ≤ y ≤ x Find the conditional distribution of Y, given X = x.