Derivate by parameter or by initial conditions

Question

Denote in $y(x, τ, ξ)$ solution to the Cauchy problem: $$y' = −y + (x − 3)(1 − e^{−y}), y(τ) = ξ$$

Find: $$\frac{∂y(x, 2, ξ)}{∂ξ}|ξ=0$$

How to do it? Any notes?